{"id":55929,"date":"2020-06-22T15:22:35","date_gmt":"2020-06-22T14:22:35","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=55929"},"modified":"2026-10-20T15:07:25","modified_gmt":"2026-10-20T14:07:25","slug":"cours-en-ligne-vitesse","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/","title":{"rendered":"Cours sur la vitesse en physique"},"content":{"rendered":"<div class=\"Latex_page\"><\/div>\n<div><\/div>\n<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_elementor\">\n<p style=\"text-align: justify;\">\t\t<div data-elementor-type=\"page\" data-elementor-id=\"86176\" class=\"elementor elementor-86176\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-6f9fb2b3 elementor-section-content-bottom elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"6f9fb2b3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5032621c sticky_badeau_colone strick_col ae-bg-gallery-type-default\" data-id=\"5032621c\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-611bd75f elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"611bd75f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-55718945 strick_col ae-bg-gallery-type-default\" data-id=\"55718945\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5940f45c elementor-widget elementor-widget-heading\" data-id=\"5940f45c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Cours en ligne Tage Mage <\/a><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f9bc725 elementor-widget elementor-widget-heading\" data-id=\"f9bc725\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Chapitres du sous-test 2 du Tage Mage<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56c02cf0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"56c02cf0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Fractions<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-390da5ff elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"390da5ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Pourcentages<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-da8d658 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"da8d658\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-algebre\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Alg\u00e8bre<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-490ac2aa elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"490ac2aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">G\u00e9om\u00e9trie<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3fd40310 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3fd40310\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Vitesse<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6edf1c7e elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6edf1c7e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-arithmetique\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Arithm\u00e9tique<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f2c805 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4f2c805\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-puissances\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Puissances<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-447b658 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"447b658\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Proportionnalit\u00e9<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53863aa elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"53863aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-denombrement\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9nombrement<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-11741389 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"11741389\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-probabilites\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Probabilit\u00e9s<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6ace8ace elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6ace8ace\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-moyenne-arithmetique-moyenne-ponderee\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Moyenne<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-13f1db2f elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"13f1db2f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-pythagore\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Th\u00e9or\u00e8me de Pythagore<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-10d04684 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"10d04684\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Th\u00e9or\u00e8me de Thal\u00e8s<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-691a3a8a elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"691a3a8a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-racines-carrees\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Racines Carr\u00e9es<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a5f7bd6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2a5f7bd6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/nous-contacter\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">CONTACTEZ-NOUS<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\" style=\"text-align: justify;\">\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<div class=\"elementor-text-editor elementor-clearfix\" style=\"color: #000000; font-family: Lato, sans-serif;\">\n<h1 class=\"Latex_page_title\" style=\"text-align: center;\">Formule de la vitesse : calculer une vitesse, un temps et une distance<\/h1>\n<p><em>Par Seda Biber, le 20\/10\/2026<\/em><\/p>\n<\/div>\n<p dir=\"ltr\" style=\"text-align: justify;\">La <strong>vitesse<\/strong> est \u00e9gale \u00e0 la distance parcourue divis\u00e9e par la dur\u00e9e du trajet : <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6603461004e5f6277bcd9328ee6559b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#116;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"45\" style=\"vertical-align: -12px;\"\/>. De cette formule, on tire les deux autres : la <strong>distance<\/strong> <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d2bb87d77218e2feb996f1c1efcbc7a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#61;&#118;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"\/> et le <strong>temps<\/strong> <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-160fc1fd216856f63b1914921b93f9f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"42\" style=\"vertical-align: -12px;\"\/>. Pour passer des km\/h aux m\/s, on divise par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/>. Pour passer des m\/s aux km\/h, on multiplie par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/>. Ces formules servent en math\u00e9matiques et en physique-chimie au coll\u00e8ge, puis dans les \u00e9preuves de calcul du <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Tage Mage<\/a>. Si les conversions ou les probl\u00e8mes de vitesse vous posent probl\u00e8me, des <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\">cours particuliers de maths<\/a>, des <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/physique-chimie\/tous-niveaux\/france\/\">cours particuliers de physique-chimie<\/a> ou un <a href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/tous-niveaux\/france\/toutes-periodes\/\">stage intensif<\/a> permettent de reprendre les bases.<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">Ce cours fait partie des fiches en ligne de Groupe R\u00e9ussite. Ces fiches sont r\u00e9dig\u00e9es par l&rsquo;\u00e9quipe qui organise nos <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/toutes-matieres\/tous-niveaux\/france\/\">cours particuliers<\/a> \u00e0 domicile et nos <a href=\"https:\/\/groupe-reussite.fr\/cours-en-ligne\/toutes-matieres\/tous-niveaux\/france\/\">cours particuliers en ligne<\/a>. Vous \u00eates \u00e9tudiant ou enseignant et vous ma\u00eetrisez ces notions ? Vous pouvez <a href=\"https:\/\/groupe-reussite.fr\/donner-cours-particuliers\/\">donner des cours particuliers<\/a> avec nous.<\/p>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-vitesse\/\">Exercices et corrig\u00e9s<\/a><\/p>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Cours en ligne du Tage Mage<\/a><\/p>\n<h2 dir=\"ltr\">R\u00e9sum\u00e9 : les formules de la vitesse<\/h2>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>On cherche<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Formule<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Exemple<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>La vitesse<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6603461004e5f6277bcd9328ee6559b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#116;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"45\" style=\"vertical-align: -12px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">150 km en 2 h : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-87aabc48037fe311da965dc5c02c1bf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#53;&#48;&#125;&#123;&#50;&#125;&#61;&#55;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"104\" style=\"vertical-align: -12px;\"\/> km\/h<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>La distance<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d2bb87d77218e2feb996f1c1efcbc7a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#61;&#118;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">80 km\/h pendant 3 h : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-35af2c19aebb271db2e089372352730f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#61;&#56;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#51;&#61;&#50;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"132\" style=\"vertical-align: 0px;\"\/> km<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Le temps<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-160fc1fd216856f63b1914921b93f9f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"42\" style=\"vertical-align: -12px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">500 km \u00e0 100 km\/h : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c3d367b870d33065907b06c6218511e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#48;&#48;&#125;&#123;&#49;&#48;&#48;&#125;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"92\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Des km\/h aux m\/s<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">On divise par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-878e7fd4ad2e7eaf4e96790318e07f7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#48;&#92;&#100;&#105;&#118;&#32;&#51;&#123;&#44;&#125;&#54;&#61;&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"103\" style=\"vertical-align: -4px;\"\/>, donc 90 km\/h = 25 m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Des m\/s aux km\/h<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">On multiplie par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d5a3d8a82c4a5e92015895c6f63a544a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#51;&#123;&#44;&#125;&#54;&#61;&#51;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"103\" style=\"vertical-align: -4px;\"\/>, donc 10 m\/s = 36 km\/h<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>La vitesse moyenne<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-59f87ba02c7ea3b762fdb1373371aff1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#109;&#111;&#121;&#125;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#111;&#116;&#97;&#108;&#101;&#125;&#125;&#125;&#123;&#116;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#111;&#116;&#97;&#108;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"105\" style=\"vertical-align: -15px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">50 km en 1 h 40 min : 30 km\/h<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<p dir=\"ltr\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"186409\" class=\"elementor elementor-186409\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-208557d4 elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"208557d4\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-5c1307a9 ae-bg-gallery-type-default\" data-id=\"5c1307a9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a42a1b elementor-widget elementor-widget-heading\" data-id=\"a42a1b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">AVOIR LES MEILLEURS PROFS DE MATHS<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53b6892b elementor-widget elementor-widget-heading\" data-id=\"53b6892b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">C'est gagner en autonomie<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-339aefc1 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"339aefc1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours de maths particulier<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-461d5d63 ae-bg-gallery-type-default\" data-id=\"461d5d63\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<h2 dir=\"ltr\">Quelle est la formule de la vitesse ?<\/h2>\n<p dir=\"ltr\">La vitesse indique la distance parcourue par unit\u00e9 de temps :<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6603461004e5f6277bcd9328ee6559b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#116;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"45\" style=\"vertical-align: -12px;\"\/><\/p>\n<p dir=\"ltr\">avec <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ef71511c70f0e4b25cc6bd69f3bc20c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> la vitesse, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e8716946f6a868f015e0d62f28bc540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"10\" style=\"vertical-align: 0px;\"\/> la distance et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"\/> la dur\u00e9e (le temps).<\/p>\n<p dir=\"ltr\">L&rsquo;unit\u00e9 de la vitesse d\u00e9pend des unit\u00e9s de la distance et du temps :<\/p>\n<ul>\n<li>distance en kilom\u00e8tres et temps en heures : la vitesse est en <strong>km\/h<\/strong> ;<\/li>\n<li>distance en m\u00e8tres et temps en secondes : la vitesse est en <strong>m\/s<\/strong>.<\/li>\n<\/ul>\n<p dir=\"ltr\">Exemple 1 : un cycliste parcourt 45 km en 1 h 30 min.<\/p>\n<ul>\n<li>1 h 30 min = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f3128b182ff057f56540fbbc7cf9e5ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"21\" style=\"vertical-align: -4px;\"\/> h, car 30 min, c&rsquo;est une demi-heure.<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3f0afa092e22e7b1d094447581857cd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#53;&#125;&#123;&#49;&#123;&#44;&#125;&#53;&#125;&#61;&#51;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"101\" style=\"vertical-align: -16px;\"\/> km\/h<\/li>\n<\/ul>\n<p dir=\"ltr\">Exemple 2 : un coureur parcourt 100 m en 12,5 s.<\/p>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-237a3a63dbe0504340fd588a1f1c5f54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#48;&#125;&#123;&#49;&#50;&#123;&#44;&#125;&#53;&#125;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"101\" style=\"vertical-align: -16px;\"\/> m\/s<\/li>\n<li>En km\/h : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7e05e47698af25e0ce543f8061fafdea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#51;&#123;&#44;&#125;&#54;&#61;&#50;&#56;&#123;&#44;&#125;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"108\" style=\"vertical-align: -4px;\"\/> km\/h<\/li>\n<\/ul>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> pour retrouver les trois formules, dessinez un triangle avec <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e8716946f6a868f015e0d62f28bc540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"10\" style=\"vertical-align: 0px;\"\/> en haut, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ef71511c70f0e4b25cc6bd69f3bc20c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"\/> en bas. Cachez la lettre cherch\u00e9e : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e8716946f6a868f015e0d62f28bc540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"10\" style=\"vertical-align: 0px;\"\/> est au-dessus de <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ef71511c70f0e4b25cc6bd69f3bc20c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"\/>, donc on divise (<img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6603461004e5f6277bcd9328ee6559b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#116;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"45\" style=\"vertical-align: -12px;\"\/>, <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-160fc1fd216856f63b1914921b93f9f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"42\" style=\"vertical-align: -12px;\"\/>). <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ef71511c70f0e4b25cc6bd69f3bc20c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"\/> sont c\u00f4te \u00e0 c\u00f4te, donc on multiplie (<img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d2bb87d77218e2feb996f1c1efcbc7a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#61;&#118;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"\/>).<\/div>\n<h2 dir=\"ltr\">Comment calculer le temps avec la vitesse et la distance ?<\/h2>\n<p dir=\"ltr\">On divise la distance par la vitesse :<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-160fc1fd216856f63b1914921b93f9f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"42\" style=\"vertical-align: -12px;\"\/><\/p>\n<p dir=\"ltr\">Si la distance est en km et la vitesse en km\/h, le r\u00e9sultat est en heures.<\/p>\n<p dir=\"ltr\">Exemple : combien de temps faut-il pour parcourir 180 km \u00e0 120 km\/h ?<\/p>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a648a8b0a9f4c8d89d2641ef7f9efb50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#48;&#125;&#123;&#49;&#50;&#48;&#125;&#61;&#49;&#123;&#44;&#125;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"106\" style=\"vertical-align: -12px;\"\/> h<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f3128b182ff057f56540fbbc7cf9e5ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"21\" style=\"vertical-align: -4px;\"\/> h = 1 h 30 min<\/li>\n<\/ul>\n<p dir=\"ltr\">Le r\u00e9sultat est souvent un nombre d\u00e9cimal d&rsquo;heures. Pour l&rsquo;\u00e9crire en heures et minutes, on multiplie la partie d\u00e9cimale par 60 :<\/p>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4c9c120dd72f76756466a36fc40c53b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#123;&#44;&#125;&#55;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"31\" style=\"vertical-align: -4px;\"\/> h : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8a4c7050beaef35ca26d0484361f05f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#55;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#54;&#48;&#61;&#52;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"112\" style=\"vertical-align: -4px;\"\/>, donc 2 h 45 min<\/li>\n<li>35 km \u00e0 60 km\/h : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-45259c0635931233c24e02415186e888_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#53;&#125;&#123;&#54;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"50\" style=\"vertical-align: -12px;\"\/> h, soit 35 min (\u00e0 60 km\/h, on parcourt 1 km par minute)<\/li>\n<\/ul>\n<p dir=\"ltr\">Le temps et la vitesse varient en sens inverse, mais pas dans la m\u00eame proportion. 120 km \u00e0 100 km\/h prennent 1 h 12 min. \u00c0 120 km\/h, soit une vitesse augment\u00e9e de 20 %, le m\u00eame trajet prend 1 h : le temps baisse de 12 minutes sur 72, environ 16,7 %, et non de 20 %. Le cours sur les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">pourcentages<\/a> explique pourquoi une hausse et une baisse de m\u00eame taux ne se compensent pas. Ces calculs de dur\u00e9e reviennent dans la plupart des probl\u00e8mes : vous pouvez les travailler avec nos <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-vitesse\/\">exercices corrig\u00e9s sur la vitesse<\/a>.<\/p>\n<p dir=\"ltr\">Les fractions d&rsquo;heure reviennent souvent dans les calculs. Les conna\u00eetre par c\u0153ur fait gagner du temps, notamment au Tage Mage :<\/p>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Fraction d&rsquo;heure<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>\u00c9criture d\u00e9cimale<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Minutes<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5aa3fe0ad89cf65f34b5c880c078356e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-142697dec73624ffbcc997ac4d7cf4ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"22\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">30 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2e1435fbb34dc827f8ae4d908bf2364d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f402281f5dc550c553997c9a2cad459a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#51;&#51;&#51;&#92;&#108;&#100;&#111;&#116;&#115;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">20 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7fc58100d71714be3c30d3c3b33007fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"9\" style=\"vertical-align: -13px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-da4a05478079bead0d89c3b0e46f8d8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"31\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">15 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-98cae5968483fcf564de11e0b139ea9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3722e46abf0e33c6196d945942c5262c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"22\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">12 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a0827db9dfc0e602467d0a9f26a221ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0dc1fcd6af867df62668ae9747c17d40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#49;&#54;&#54;&#92;&#108;&#100;&#111;&#116;&#115;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">10 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d4825517b54191ab99a1c053af69ad25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"18\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-20687868fd9195186503a4b0ce603b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"22\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">6 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-467fe750e10a3cb3b7f1b2c763372bb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"18\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-33767e17baabfb1326c23fdf133ae9d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#48;&#56;&#51;&#92;&#108;&#100;&#111;&#116;&#115;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">5 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e410271ad9d956736a8741241a34563_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"18\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-402c91629cac0fc9aa5afa0767c44a4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#48;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"31\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">3 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2f555bfd0c034276aafa1f59270cc183_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e6f64ca3d3b5740fbcb62b4475354f39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#54;&#54;&#54;&#92;&#108;&#100;&#111;&#116;&#115;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">40 min<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c5ebd9d3766fcdac5860e5f2039b3782_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5d0983d7b137744dd8c133c3e0dc4f83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#55;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"31\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">45 min<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> 1 h 30 min ne s&rsquo;\u00e9crit pas <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-548f5c52a506d4803cbdd8c0373ef81c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#51;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"31\" style=\"vertical-align: -4px;\"\/> h mais <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f3128b182ff057f56540fbbc7cf9e5ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"21\" style=\"vertical-align: -4px;\"\/> h. Une heure compte 60 minutes, pas 100. Quand une dur\u00e9e ne tombe pas juste en d\u00e9cimal (1 h 20 min), gardez la fraction : 1 h 20 min = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-484c2b67c0bde037b82b6ec1f75b61db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> h.<\/div>\n<h2 dir=\"ltr\">Comment calculer une distance ?<\/h2>\n<p dir=\"ltr\">On multiplie la vitesse par le temps :<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d2bb87d77218e2feb996f1c1efcbc7a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#61;&#118;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"\/><\/p>\n<p dir=\"ltr\">Exemple : une voiture roule \u00e0 90 km\/h pendant 2 h 20 min.<\/p>\n<ul>\n<li>2 h 20 min <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b7c4ef96823ef038c4ed56d807a786b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#50;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"97\" style=\"vertical-align: -12px;\"\/> h<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c1110462992e3d96f65bd6e3efe7ae2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#61;&#57;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#125;&#123;&#51;&#125;&#61;&#50;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"136\" style=\"vertical-align: -12px;\"\/> km<\/li>\n<\/ul>\n<p dir=\"ltr\">Comme la distance est proportionnelle au temps quand la vitesse ne change pas, on peut aussi raisonner avec un <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\">produit en croix<\/a> : 90 km en 60 min, donc 30 km en 20 min et 210 km en 140 min. Pour revoir le calcul avec des fractions comme <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-45c9acdf434791b24a91026a516113e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"9\" style=\"vertical-align: -12px;\"\/>, consultez le cours sur les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">op\u00e9rations sur les fractions<\/a>.<\/p>\n<h2 dir=\"ltr\">Comment convertir des km\/h en m\/s ?<\/h2>\n<p dir=\"ltr\">Pour passer des km\/h aux m\/s, on <strong>divise par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/><\/strong>. Pour passer des m\/s aux km\/h, on <strong>multiplie par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/><\/strong>.<\/p>\n<p dir=\"ltr\">Pourquoi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/> ? 1 km = 1 000 m et 1 h = 3 600 s. Donc :<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2bccb21558f43eeb7c0064abdadd0059_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#107;&#109;&#47;&#104;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#44;&#48;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#125;&#125;&#123;&#51;&#92;&#44;&#54;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#115;&#125;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#123;&#44;&#125;&#54;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#47;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"230\" style=\"vertical-align: -16px;\"\/><\/p>\n<p dir=\"ltr\">Inversement, 1 m\/s = 3 600 m par heure = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/> km\/h. Avec les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-puissances\/\">puissances de 10<\/a>, on \u00e9crit 1 km = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fbfc70f36baf000e935a21b446c5b5ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"24\" style=\"vertical-align: 0px;\"\/> m et 1 h = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-97f5cc73d2724fa0bc4a23ba52cb347a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#48;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" style=\"vertical-align: -4px;\"\/> s, ce qui aide pour les grandes vitesses.<\/p>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Vitesse en km\/h<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Vitesse en m\/s<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/> km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">1 m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">18 km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">5 m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">36 km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">10 m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">50 km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">environ <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-55bffa6daf7ea252d7b0968776d28f14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#51;&#123;&#44;&#125;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"31\" style=\"vertical-align: -4px;\"\/> m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">72 km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">20 m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">90 km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">25 m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">100 km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">environ <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-df555855768d508b9c0f5c06d61915ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#55;&#123;&#44;&#125;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"32\" style=\"vertical-align: -4px;\"\/> m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">130 km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">environ <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-074ea3f2f55f1c18149c0959471cdd97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;&#123;&#44;&#125;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"31\" style=\"vertical-align: -4px;\"\/> m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">1 224 km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">340 m\/s<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> une vitesse en m\/s est toujours un nombre plus petit que la m\u00eame vitesse en km\/h. Si votre conversion donne un nombre plus grand en m\/s, vous avez multipli\u00e9 au lieu de diviser.<\/div>\n<h2 dir=\"ltr\">Comment calculer une vitesse moyenne ?<\/h2>\n<p dir=\"ltr\">La vitesse moyenne sur un trajet en plusieurs \u00e9tapes est \u00e9gale \u00e0 la <strong>distance totale divis\u00e9e par la dur\u00e9e totale<\/strong>. Ce n&rsquo;est pas la moyenne des vitesses de chaque \u00e9tape.<\/p>\n<p dir=\"ltr\">Exemple : vous faites 25 km pour aller au travail \u00e0 60 km\/h, puis vous rentrez \u00e0 20 km\/h \u00e0 cause des bouchons.<\/p>\n<ul>\n<li>Aller : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d6b4d4ce2cc946d3b3f192da46ddd50b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#53;&#125;&#123;&#54;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"50\" style=\"vertical-align: -12px;\"\/> h = 25 min<\/li>\n<li>Retour : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-448339747fc1868fd1a48216dce9a9c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#53;&#125;&#123;&#50;&#48;&#125;&#61;&#49;&#123;&#44;&#125;&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"106\" style=\"vertical-align: -12px;\"\/> h = 75 min<\/li>\n<li>Total : 50 km en 100 min, soit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4b6060beff4d919fd9757f432d3a8b97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"9\" style=\"vertical-align: -12px;\"\/> h<\/li>\n<li>Vitesse moyenne : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1ce4bb3bfd01e9a63a61bcfd6e7c3287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#109;&#111;&#121;&#125;&#125;&#61;&#53;&#48;&#92;&#100;&#105;&#118;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#51;&#125;&#61;&#53;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#53;&#125;&#61;&#51;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"228\" style=\"vertical-align: -12px;\"\/> km\/h<\/li>\n<\/ul>\n<p dir=\"ltr\">La moyenne des deux vitesses, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-62521b33a0b8b1a32e18cfabfd5b8997_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#48;&#43;&#50;&#48;&#125;&#123;&#50;&#125;&#61;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"101\" style=\"vertical-align: -12px;\"\/> km\/h, est fausse : vous roulez plus longtemps \u00e0 20 km\/h qu&rsquo;\u00e0 60 km\/h, donc la vitesse lente p\u00e8se davantage. Pour comprendre ce m\u00e9canisme, consultez le cours sur la <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-moyenne-arithmetique-moyenne-ponderee\/\">moyenne arithm\u00e9tique et la moyenne pond\u00e9r\u00e9e<\/a>.<\/p>\n<p dir=\"ltr\">Pour un aller-retour sur une m\u00eame distance, une formule donne directement le r\u00e9sultat :<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d406102fa52bb5b1c9309f1a9ad58758_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#109;&#111;&#121;&#125;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#118;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#97;&#108;&#108;&#101;&#114;&#125;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#118;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#114;&#101;&#116;&#111;&#117;&#114;&#125;&#125;&#125;&#123;&#118;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#97;&#108;&#108;&#101;&#114;&#125;&#125;&#43;&#118;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#114;&#101;&#116;&#111;&#117;&#114;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"194\" style=\"vertical-align: -15px;\"\/><\/p>\n<p dir=\"ltr\">Avec l&rsquo;exemple : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3eccf3e00f7eb4ee980122bd3be3fbbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#95;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#109;&#111;&#121;&#125;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#54;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#50;&#48;&#125;&#123;&#54;&#48;&#43;&#50;&#48;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#92;&#44;&#52;&#48;&#48;&#125;&#123;&#56;&#48;&#125;&#61;&#51;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"257\" style=\"vertical-align: -14px;\"\/> km\/h.<\/p>\n<p dir=\"ltr\">Si le trajet comporte des pauses, leur dur\u00e9e compte dans la dur\u00e9e totale.<\/p>\n<h2 dir=\"ltr\">Comment r\u00e9soudre un probl\u00e8me de croisement ou de rattrapage ?<\/h2>\n<p dir=\"ltr\">Ces deux types de probl\u00e8mes reviennent souvent en 3e et dans les \u00e9preuves de calcul des concours. On peut les r\u00e9soudre avec la m\u00eame m\u00e9thode, \u00e0 une r\u00e8gle pr\u00e8s :<\/p>\n<ul>\n<li><strong>croisement<\/strong> (les deux mobiles vont l&rsquo;un vers l&rsquo;autre) : on <strong>additionne<\/strong> les vitesses ;<\/li>\n<li><strong>rattrapage<\/strong> (les deux mobiles vont dans le m\u00eame sens) : on <strong>soustrait<\/strong> les vitesses.<\/li>\n<\/ul>\n<p dir=\"ltr\">Dans les deux cas, si l&rsquo;un des mobiles part avant l&rsquo;autre, on calcule d&rsquo;abord la distance qu&rsquo;il a d\u00e9j\u00e0 parcourue.<\/p>\n<h3 dir=\"ltr\">Croisement : deux trains l&rsquo;un vers l&rsquo;autre<\/h3>\n<p dir=\"ltr\">Un train part de la ville A \u00e0 8 h et roule vers la ville B \u00e0 120 km\/h. Un autre train part de B \u00e0 9 h et roule vers A \u00e0 150 km\/h. Les deux villes sont \u00e0 390 km l&rsquo;une de l&rsquo;autre. \u00c0 quelle heure les trains se croisent-ils ?<\/p>\n<ol>\n<li>\u00c0 9 h, le premier train a d\u00e9j\u00e0 roul\u00e9 1 h : il a parcouru 120 km. Il reste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5967ed7a5ce824e2abfb7aff09a97498_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#57;&#48;&#45;&#49;&#50;&#48;&#61;&#50;&#55;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"125\" style=\"vertical-align: 0px;\"\/> km entre les deux trains.<\/li>\n<li>Les trains se rapprochent de <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-488fe5aaae954041d56cbc1203a05ae5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;&#48;&#43;&#49;&#53;&#48;&#61;&#50;&#55;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"124\" style=\"vertical-align: -2px;\"\/> km chaque heure.<\/li>\n<li>Temps avant le croisement : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-016f258ab5a53fda09aa85b1ef537436_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#55;&#48;&#125;&#123;&#50;&#55;&#48;&#125;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"92\" style=\"vertical-align: -12px;\"\/> h. Ils se croisent \u00e0 <strong>10 h<\/strong>.<\/li>\n<\/ol>\n<p dir=\"ltr\">V\u00e9rification : le premier train a roul\u00e9 2 h, soit 240 km, et le second 1 h, soit 150 km. On a bien <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e2455df8084a8d2a9f56d593593fcec3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#52;&#48;&#43;&#49;&#53;&#48;&#61;&#51;&#57;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"125\" style=\"vertical-align: -2px;\"\/> km.<\/p>\n<h3 dir=\"ltr\">Rattrapage : une voiture derri\u00e8re une moto<\/h3>\n<p dir=\"ltr\">Une moto part \u00e0 10 h \u00e0 90 km\/h. Une voiture part du m\u00eame endroit \u00e0 11 h, dans la m\u00eame direction, \u00e0 30 m\/s. \u00c0 quelle heure la voiture rattrape-t-elle la moto ?<\/p>\n<ol>\n<li>On convertit : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4ea58347e0cf6d095967c355e3b76bab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#51;&#123;&#44;&#125;&#54;&#61;&#49;&#48;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -4px;\"\/>, donc 30 m\/s = 108 km\/h.<\/li>\n<li>\u00c0 11 h, la moto a 90 km d&rsquo;avance.<\/li>\n<li>La voiture rattrape <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-828279e290d9f94efad18d763d1ca840_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#56;&#45;&#57;&#48;&#61;&#49;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"107\" style=\"vertical-align: 0px;\"\/> km chaque heure.<\/li>\n<li>Temps de rattrapage : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4ac10d685ede6b306ec2e0cf635f4d26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#48;&#125;&#123;&#49;&#56;&#125;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"83\" style=\"vertical-align: -12px;\"\/> h. La voiture rattrape la moto \u00e0 <strong>16 h<\/strong>.<\/li>\n<\/ol>\n<p dir=\"ltr\">V\u00e9rification : la voiture a roul\u00e9 5 h \u00e0 108 km\/h (<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-61ba61a7ffc8629b708a54e4f6917e52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#48;&#56;&#61;&#53;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"108\" style=\"vertical-align: 0px;\"\/> km), la moto 6 h \u00e0 90 km\/h (<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-636d2e97ab0af7cb883d1ad696a468f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#57;&#48;&#61;&#53;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"99\" style=\"vertical-align: 0px;\"\/> km).<\/p>\n<p dir=\"ltr\">On peut aussi poser une \u00e9quation. Si <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"\/> est le temps de trajet de la voiture, la moto a roul\u00e9 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-775c0d4c3cba4f8f67d60dafc6465d8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#43;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"36\" style=\"vertical-align: -2px;\"\/> heures, et les deux distances sont \u00e9gales : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-82b80888226d7a6358041208f925cd80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#56;&#116;&#61;&#57;&#48;&#40;&#116;&#43;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" style=\"vertical-align: -5px;\"\/>, donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-82d6c984caa16fac7d42d098968a90db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#56;&#116;&#61;&#57;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"65\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4291011c7cdcdfeece3f6896faea35e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"38\" style=\"vertical-align: 0px;\"\/>. Cette m\u00e9thode est d\u00e9taill\u00e9e dans nos <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-algebre\/\">exercices corrig\u00e9s d&rsquo;alg\u00e8bre<\/a>.<\/p>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> v\u00e9rifiez toujours votre r\u00e9sultat en calculant la distance parcourue par chaque mobile. Au croisement, les deux distances doivent s&rsquo;additionner pour donner la distance de d\u00e9part. Au rattrapage, elles doivent \u00eatre \u00e9gales.<\/div>\n<h2 dir=\"ltr\">Quelles erreurs \u00e9viter dans les calculs de vitesse ?<\/h2>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Erreur fr\u00e9quente<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Bonne m\u00e9thode<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">\u00c9crire 1 h 30 min = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-548f5c52a506d4803cbdd8c0373ef81c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#51;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"31\" style=\"vertical-align: -4px;\"\/> h<\/td>\n<td style=\"border: 1px solid #0F2742;\">1 h 30 min = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f3128b182ff057f56540fbbc7cf9e5ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"21\" style=\"vertical-align: -4px;\"\/> h (30 min = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-142697dec73624ffbcc997ac4d7cf4ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"22\" style=\"vertical-align: -4px;\"\/> h)<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Diviser des km par des minutes et donner un r\u00e9sultat en km\/h<\/td>\n<td style=\"border: 1px solid #0F2742;\">Convertir les minutes en heures avant de diviser<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Multiplier par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/> pour passer des km\/h aux m\/s<\/td>\n<td style=\"border: 1px solid #0F2742;\">Diviser par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa4a2c56c05f1c5935f62f9ee4379e26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#44;&#125;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"23\" style=\"vertical-align: -4px;\"\/> : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4843b4f2d355de5b2b6316e38dd4040f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#50;&#92;&#100;&#105;&#118;&#32;&#51;&#123;&#44;&#125;&#54;&#61;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"104\" style=\"vertical-align: -4px;\"\/>, donc 72 km\/h = 20 m\/s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Faire la moyenne des vitesses de chaque \u00e9tape<\/td>\n<td style=\"border: 1px solid #0F2742;\">Diviser la distance totale par la dur\u00e9e totale<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Soustraire les vitesses dans un croisement<\/td>\n<td style=\"border: 1px solid #0F2742;\">Additionner les vitesses quand les mobiles vont l&rsquo;un vers l&rsquo;autre<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Oublier l&rsquo;avance du mobile parti en premier<\/td>\n<td style=\"border: 1px solid #0F2742;\">Calculer d&rsquo;abord la distance qu&rsquo;il a d\u00e9j\u00e0 parcourue<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 dir=\"ltr\">En quelle classe \u00e9tudie-t-on la vitesse ?<\/h2>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Classe et mati\u00e8re<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Ce que dit le programme<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>5e, math\u00e9matiques<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Utiliser un coefficient de proportionnalit\u00e9 dans des contextes concrets, dont la vitesse moyenne<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>4e, math\u00e9matiques<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Utiliser des grandeurs quotients, avec ou sans unit\u00e9s<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>5e \u00e0 3e, physique-chimie<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Utiliser la relation liant vitesse, distance et dur\u00e9e dans le cas d&rsquo;un mouvement uniforme ; vitesse : direction, sens et valeur<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p dir=\"ltr\">En math\u00e9matiques, ces attendus viennent du programme de cycle 4 publi\u00e9 au Bulletin officiel du 5 mars 2026. En physique-chimie, ils viennent du programme de cycle 4 publi\u00e9 au BO n\u00b0 31 du 30 juillet 2020 (th\u00e8me \u00ab Mouvement et interactions \u00bb). Au Tage Mage, les probl\u00e8mes de vitesse font partie du sous-test de calcul, avec les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">fractions<\/a>, les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">pourcentages<\/a> et la <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\">proportionnalit\u00e9<\/a>.<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"ltr\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"205992\" class=\"elementor elementor-205992\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-df11d1e elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"df11d1e\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-54ab74af ae-bg-gallery-type-default\" data-id=\"54ab74af\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2c1ca7d elementor-widget elementor-widget-heading\" data-id=\"2c1ca7d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">STAGE DE MATHS PENDANT LES VACANCES<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3e600302 elementor-widget elementor-widget-heading\" data-id=\"3e600302\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Gagner en s\u00e9r\u00e9nit\u00e9 et progresser en confiance<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-598c6a68 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"598c6a68\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/groupe-reussite.fr\/stages\/maths\/tous-niveaux\/france\/toutes-periodes\/\" target=\"_blank\" id=\"CTA_PRD_STAGE\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Stage maths vacances<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-14415dfd ae-bg-gallery-type-default\" data-id=\"14415dfd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<h2 dir=\"ltr\">FAQ : questions fr\u00e9quentes sur la vitesse<\/h2>\n        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Quelles sont les 3 formules de la vitesse ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tLa vitesse est \u00e9gale \u00e0 la distance divis\u00e9e par le temps (v = d \u00f7 t). On en d\u00e9duit la distance, \u00e9gale \u00e0 la vitesse multipli\u00e9e par le temps (d = v \u00d7 t), et le temps, \u00e9gal \u00e0 la distance divis\u00e9e par la vitesse (t = d \u00f7 v).                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Comment calculer le temps avec la vitesse et la distance ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tOn divise la distance par la vitesse. Exemple : 180 km \u00e0 120 km\/h donnent 180 \u00f7 120 = 1,5 h, soit 1 h 30 min. Pour convertir la partie d\u00e9cimale en minutes, on la multiplie par 60.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Pourquoi multiplier par 3,6 pour passer des m\/s aux km\/h ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tParce qu'une heure compte 3 600 secondes et un kilom\u00e8tre 1 000 m\u00e8tres. 1 m\/s correspond donc \u00e0 3 600 m par heure, soit 3,6 km\/h. Dans l'autre sens, on divise par 3,6 : 90 km\/h = 25 m\/s.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Combien de temps faut-il pour parcourir 180 km en voiture ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tCela d\u00e9pend de la vitesse moyenne : t = 180 \u00f7 v. \u00c0 90 km\/h de moyenne, il faut 2 h. \u00c0 120 km\/h, il faut 1 h 30 min. \u00c0 60 km\/h, il faut 3 h.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>La vitesse moyenne est-elle la moyenne des vitesses ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tNon. La vitesse moyenne est la distance totale divis\u00e9e par la dur\u00e9e totale. Un aller de 25 km \u00e0 60 km\/h et un retour \u00e0 20 km\/h donnent une vitesse moyenne de 30 km\/h, et non de 40 km\/h, parce que le trajet lent dure plus longtemps.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Comment calculer la vitesse en m\/s ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tOn divise une distance en m\u00e8tres par une dur\u00e9e en secondes. Exemple : 100 m en 12,5 s donnent 100 \u00f7 12,5 = 8 m\/s. Si la vitesse est donn\u00e9e en km\/h, on la divise par 3,6.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t\n<script type=\"application\/ld+json\">\n    {\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Quelles sont les 3 formules de la vitesse ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"La vitesse est \u00e9gale \u00e0 la distance divis\u00e9e par le temps (v = d \u00f7 t). On en d\u00e9duit la distance, \u00e9gale \u00e0 la vitesse multipli\u00e9e par le temps (d = v \u00d7 t), et le temps, \u00e9gal \u00e0 la distance divis\u00e9e par la vitesse (t = d \u00f7 v).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Comment calculer le temps avec la vitesse et la distance ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"On divise la distance par la vitesse. Exemple : 180 km \u00e0 120 km\/h donnent 180 \u00f7 120 = 1,5 h, soit 1 h 30 min. Pour convertir la partie d\u00e9cimale en minutes, on la multiplie par 60.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Pourquoi multiplier par 3,6 pour passer des m\/s aux km\/h ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Parce qu'une heure compte 3 600 secondes et un kilom\u00e8tre 1 000 m\u00e8tres. 1 m\/s correspond donc \u00e0 3 600 m par heure, soit 3,6 km\/h. Dans l'autre sens, on divise par 3,6 : 90 km\/h = 25 m\/s.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Combien de temps faut-il pour parcourir 180 km en voiture ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Cela d\u00e9pend de la vitesse moyenne : t = 180 \u00f7 v. \u00c0 90 km\/h de moyenne, il faut 2 h. \u00c0 120 km\/h, il faut 1 h 30 min. \u00c0 60 km\/h, il faut 3 h.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"La vitesse moyenne est-elle la moyenne des vitesses ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Non. La vitesse moyenne est la distance totale divis\u00e9e par la dur\u00e9e totale. Un aller de 25 km \u00e0 60 km\/h et un retour \u00e0 20 km\/h donnent une vitesse moyenne de 30 km\/h, et non de 40 km\/h, parce que le trajet lent dure plus longtemps.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Comment calculer la vitesse en m\/s ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"On divise une distance en m\u00e8tres par une dur\u00e9e en secondes. Exemple : 100 m en 12,5 s donnent 100 \u00f7 12,5 = 8 m\/s. Si la vitesse est donn\u00e9e en km\/h, on la divise par 3,6.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t    ]\n}\n<\/script>\n\n<h2 dir=\"ltr\">Sources<\/h2>\n<ul>\n<li>Minist\u00e8re de l&rsquo;\u00c9ducation nationale, Programme de physique-chimie du cycle 4, th\u00e8me \u00ab Mouvement et interactions \u00bb, <a href=\"https:\/\/spc.web.ac-grenoble.fr\/sites\/default\/files\/Media\/document\/Programme2020_Cycle_4_PC.pdf\" target=\"_blank\" rel=\"noopener\">BO n\u00b0 31 du 30 juillet 2020<\/a> (version mise en ligne par l&rsquo;acad\u00e9mie de Grenoble)<\/li>\n<li>Minist\u00e8re de l&rsquo;\u00c9ducation nationale, <a href=\"https:\/\/www.education.gouv.fr\/sites\/default\/files\/document\/Annexe%202%20%E2%80%93%20Programme%20de%20math%C3%A9matiques%20pour%20le%20cycle%204-480716.pdf\" target=\"_blank\" rel=\"noopener\">Programme de math\u00e9matiques du cycle 4<\/a>, annexe 2, BO du 5 mars 2026<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Formule de la vitesse : calculer une vitesse, un temps et une distance Par Seda Biber, le 20\/10\/2026 La vitesse est \u00e9gale \u00e0 la distance parcourue divis\u00e9e par la dur\u00e9e du trajet : . De cette formule, on tire les deux autres : la distance et le temps . Pour passer des km\/h aux m\/s, [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"full-screen","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"ressource","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"on","ocean_disable_heading":"on","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"on","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-55929","page","type-page","status-publish","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - 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