{"id":199553,"date":"2025-03-12T06:04:53","date_gmt":"2025-03-12T06:04:53","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=199553"},"modified":"2025-03-12T06:04:56","modified_gmt":"2025-03-12T06:04:56","slug":"a-car-starts-from-rest-and-accelerates-at-a-constant-1-5-m-s2-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/12\/a-car-starts-from-rest-and-accelerates-at-a-constant-1-5-m-s2-3\/","title":{"rendered":"A car starts from rest and accelerates at a constant 1.5 m\/s2"},"content":{"rendered":"\n

A car starts from rest and accelerates at a constant 1.5 m\/s2. Some time later, it takes 2.1 s to cross over a 25-meter long bridge. How far did the car travel before getting onto the bridge?<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The car traveled 35.57 meters<\/strong> before getting onto the bridge.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

The problem involves uniformly accelerated motion. The car starts from rest and accelerates at 1.5 m\/s\u00b2<\/strong> until it reaches the bridge. Once on the bridge, it takes 2.1 seconds<\/strong> to cross a 25-meter-long<\/strong> section.<\/p>\n\n\n\n

    \n
  1. Find the velocity at the start of the bridge<\/strong>
    We use the equation of motion:
    [
    s = v t + \\frac{1}{2} a t^2
    ]
    Substituting the given values for the bridge:
    [
    25 = v \\times 2.1 + \\frac{1}{2} \\times 1.5 \\times (2.1)^2
    ]
    Solving for ( v ), we get:
    [
    v = 9.44 \\text{ m\/s}
    ]
    This is the velocity just before entering the bridge.<\/li>\n\n\n\n
  2. Find the distance traveled before reaching the bridge<\/strong>
    Using the kinematic equation:
    [
    v^2 = u^2 + 2 a s
    ]
    Since the car starts from rest (( u = 0 )), we solve for ( s ):
    [
    9.44^2 = 2 \\times 1.5 \\times s
    ]
    [
    s = \\frac{9.44^2}{2 \\times 1.5} = 35.57 \\text{ m}
    ]<\/li>\n<\/ol>\n\n\n\n
    \"\"<\/figure>\n\n\n\n

    Thus, the car traveled 35.57 meters<\/strong> before reaching the bridge.<\/p>\n","protected":false},"excerpt":{"rendered":"

    A car starts from rest and accelerates at a constant 1.5 m\/s2. Some time later, it takes 2.1 s to cross over a 25-meter long bridge. How far did the car travel before getting onto the bridge? The correct answer and explanation is : The car traveled 35.57 meters before getting onto the bridge. Explanation: […]<\/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-199553","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199553","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=199553"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199553\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=199553"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=199553"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=199553"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}