{"id":199642,"date":"2025-03-12T07:55:50","date_gmt":"2025-03-12T07:55:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=199642"},"modified":"2025-03-12T07:55:53","modified_gmt":"2025-03-12T07:55:53","slug":"a-toy-car-is-released-from-rest","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/12\/a-toy-car-is-released-from-rest\/","title":{"rendered":"A toy car is released from rest"},"content":{"rendered":"\n<p>A toy car is released from rest. It accelerates at 0.40 m\/s<sup>2<\/sup>\u00a0until it reaches a speed of 1.8 m\/s. How far does it travel in 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 toy car travels while accelerating, we use the kinematic equation:<\/p>\n\n\n\n<p>[<br>v^2 = u^2 + 2as<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( v = 1.8 ) m\/s (final velocity),<\/li>\n\n\n\n<li>( u = 0 ) m\/s (initial velocity, since it starts from rest),<\/li>\n\n\n\n<li>( a = 0.40 ) m\/s\u00b2 (acceleration),<\/li>\n\n\n\n<li>( s ) is the distance traveled.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Solve for ( s )<\/h3>\n\n\n\n<p>[<br>(1.8)^2 = (0)^2 + 2(0.40)s<br>]<\/p>\n\n\n\n<p>[<br>3.24 = 0.80s<br>]<\/p>\n\n\n\n<p>[<br>s = \\frac{3.24}{0.80}<br>]<\/p>\n\n\n\n<p>[<br>s = 4.05 \\text{ m}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The toy car travels <strong>4.05 meters<\/strong> before reaching 1.8 m\/s.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The problem involves a toy car accelerating uniformly from rest. Since it starts from zero velocity and increases speed at a constant rate (0.40 m\/s\u00b2), we can use kinematic equations to determine how far it moves before reaching the target velocity (1.8 m\/s).<\/p>\n\n\n\n<p>First, we recognize that we are not given the time, but we do have acceleration and final velocity. This suggests using the kinematic equation:<\/p>\n\n\n\n<p>[<br>v^2 = u^2 + 2as<br>]<\/p>\n\n\n\n<p>This equation relates velocity, acceleration, and displacement without needing time. Since the toy car starts from rest (( u = 0 )), the equation simplifies, making it easy to solve for ( s ).<\/p>\n\n\n\n<p>After plugging in the values, we find that the toy car moves <strong>4.05 meters<\/strong> before reaching the given speed. This makes sense because with a small acceleration of 0.40 m\/s\u00b2, it takes some distance to gradually reach a higher velocity.<\/p>\n\n\n\n<p>This problem demonstrates the importance of kinematics in predicting motion, showing how we can determine displacement without knowing time, as long as acceleration and velocity are given.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A toy car is released from rest. It accelerates at 0.40 m\/s2\u00a0until it reaches a speed of 1.8 m\/s. How far does it travel in this time? The correct answer and explanation is : To find the distance the toy car travels while accelerating, we use the kinematic equation: [v^2 = u^2 + 2as] Where: [&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-199642","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199642","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=199642"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199642\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=199642"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=199642"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=199642"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}