{"id":203027,"date":"2025-03-18T16:43:23","date_gmt":"2025-03-18T16:43:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=203027"},"modified":"2025-03-18T16:43:25","modified_gmt":"2025-03-18T16:43:25","slug":"a-car-accelerates-uniformly-from-rest-to-a-speed-of-23-7-km-h-in-6-5-s","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/18\/a-car-accelerates-uniformly-from-rest-to-a-speed-of-23-7-km-h-in-6-5-s\/","title":{"rendered":"A car accelerates uniformly from rest to a speed of 23.7 km\/h in 6.5 s"},"content":{"rendered":"\n<p>A car accelerates uniformly from rest to a speed of 23.7 km\/h in 6.5 s. Find the distance the car travels during this time.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the distance the car travels during this time, we can use the equations of uniformly accelerated motion. Specifically, we can use the formula:<\/p>\n\n\n\n<p>[<br>d = v_i t + \\frac{1}{2} a t^2<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(d) is the distance traveled,<\/li>\n\n\n\n<li>(v_i) is the initial velocity,<\/li>\n\n\n\n<li>(a) is the acceleration,<\/li>\n\n\n\n<li>(t) is the time.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Analyze the given information<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The car accelerates from rest, so the initial velocity (v_i = 0 \\, \\text{m\/s}).<\/li>\n\n\n\n<li>The final velocity is given as 23.7 km\/h. To use consistent units (meters per second), we need to convert the speed into m\/s:<\/li>\n<\/ul>\n\n\n\n<p>[<br>23.7 \\, \\text{km\/h} = 23.7 \\times \\frac{1000}{3600} \\, \\text{m\/s} = 6.583 \\, \\text{m\/s}<br>]<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The time is given as 6.5 seconds.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the acceleration<\/h3>\n\n\n\n<p>Since the car starts from rest, the acceleration can be found using the formula for uniform acceleration:<\/p>\n\n\n\n<p>[<br>v_f = v_i + a t<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(v_f) is the final velocity,<\/li>\n\n\n\n<li>(v_i) is the initial velocity (0 m\/s),<\/li>\n\n\n\n<li>(a) is the acceleration,<\/li>\n\n\n\n<li>(t<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>A car accelerates uniformly from rest to a speed of 23.7 km\/h in 6.5 s. Find the distance the car travels during this time. The correct answer and explanation is : To find the distance the car travels during this time, we can use the equations of uniformly accelerated motion. Specifically, we can use the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-203027","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203027","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=203027"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203027\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203027"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203027"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203027"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}