{"id":199275,"date":"2025-03-11T03:35:31","date_gmt":"2025-03-11T03:35:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=199275"},"modified":"2025-03-11T03:35:33","modified_gmt":"2025-03-11T03:35:33","slug":"a-car-slows-down-from-23m-s-to-rest-in-a-distance-of-85m","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/11\/a-car-slows-down-from-23m-s-to-rest-in-a-distance-of-85m\/","title":{"rendered":"A car slows down from 23m\/s to rest in a distance of 85m"},"content":{"rendered":"\n<p>A car slows down from 23m\/s to rest in a distance of 85m. What was its acceleration, assumed constant?<\/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 determine the acceleration of the car, we can 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 ) = final velocity = 0 m\/s (since the car comes to rest),<\/li>\n\n\n\n<li>( u ) = initial velocity = 23 m\/s,<\/li>\n\n\n\n<li>( s ) = displacement = 85 m,<\/li>\n\n\n\n<li>( a ) = acceleration (to be determined).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Rearrange the Formula<\/h3>\n\n\n\n<p>Rearranging the equation to solve for acceleration ( a ):<\/p>\n\n\n\n<p>[<br>a = \\frac{v^2 &#8211; u^2}{2s}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Substitute the Given Values<\/h3>\n\n\n\n<p>[<br>a = \\frac{(0)^2 &#8211; (23)^2}{2(85)}<br>]<\/p>\n\n\n\n<p>[<br>a = \\frac{0 &#8211; 529}{170}<br>]<\/p>\n\n\n\n<p>[<br>a = \\frac{-529}{170}<br>]<\/p>\n\n\n\n<p>[<br>a = -3.11 \\text{ m\/s}^2<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Interpret the Result<\/h3>\n\n\n\n<p>The negative sign indicates that the acceleration is in the opposite direction to the motion of the car, meaning it is deceleration (slowing down). The magnitude of the acceleration is <strong>3.11 m\/s\u00b2<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Acceleration is the rate of change of velocity. In this case, the car is experiencing a constant deceleration as it slows from 23 m\/s to rest over a distance of 85 meters. The kinematic equation used accounts for uniformly accelerated motion, which assumes that the deceleration is constant throughout the motion.<\/p>\n\n\n\n<p>The key takeaway here is that the acceleration value tells us how quickly the car reduces its speed. A larger magnitude of acceleration would indicate a quicker stop, whereas a smaller magnitude would indicate a more gradual stop. The negative sign simply signifies that the acceleration is in the direction opposite to the car&#8217;s initial velocity.<\/p>\n\n\n\n<p>This type of calculation is useful in physics and engineering, particularly in designing safe stopping distances for vehicles and understanding braking performance.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A car slows down from 23m\/s to rest in a distance of 85m. What was its acceleration, assumed constant? The correct answer and explanation is : To determine the acceleration of the car, we can use the kinematic equation: [v^2 = u^2 + 2as] where: Step 1: Rearrange the Formula Rearranging the equation to solve [&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-199275","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199275","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=199275"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199275\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=199275"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=199275"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=199275"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}