{"id":184987,"date":"2025-01-22T02:20:39","date_gmt":"2025-01-22T02:20:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=184987"},"modified":"2025-01-22T02:20:41","modified_gmt":"2025-01-22T02:20:41","slug":"convert-90-kilometres-per-hour-to-a-miles-per-hour-b-meters-per-second","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/22\/convert-90-kilometres-per-hour-to-a-miles-per-hour-b-meters-per-second\/","title":{"rendered":"Convert 90 kilometres per hour to (a) miles per hour (b) meters per second"},"content":{"rendered":"\n

1        Convert 90 kilometres per hour to (a) miles per hour (b) meters per second
?.<\/p>\n\n\n\n

2        The driver of a car steps on the brakes, and the velocity drops from  due east to  due east in a time of 2 seconds. What is the acceleration?
Er. due vie ii.<\/p>\n\n\n\n

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

Question 1<\/strong>: Convert 90 kilometers per hour to:<\/h3>\n\n\n\n

(a) miles per hour (b) meters per second<\/p>\n\n\n\n

Solution<\/strong>:<\/h4>\n\n\n\n
    \n
  1. Convert to miles per hour (mph):<\/strong>\n
      \n
    • Conversion factor: 1\u2009km=0.621371\u2009miles1 \\, \\text{km} = 0.621371 \\, \\text{miles}<\/li>\n\n\n\n
    • 90\u2009km\/h\u00d70.621371=55.92339\u2009mph90 \\, \\text{km\/h} \\times 0.621371 = 55.92339 \\, \\text{mph}<\/li>\n\n\n\n
    • Answer<\/strong>: 90\u2009km\/h=55.92\u2009mph90 \\, \\text{km\/h} = 55.92 \\, \\text{mph} (rounded to 2 decimal places)<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Convert to meters per second (m\/s):<\/strong>\n
        \n
      • Conversion factor: 1\u2009km\/h=10003600=0.277778\u2009m\/s1 \\, \\text{km\/h} = \\frac{1000}{3600} = 0.277778 \\, \\text{m\/s}<\/li>\n\n\n\n
      • 90\u2009km\/h\u00d70.277778=25\u2009m\/s90 \\, \\text{km\/h} \\times 0.277778 = 25 \\, \\text{m\/s}<\/li>\n\n\n\n
      • Answer<\/strong>: 90\u2009km\/h=25\u2009m\/s90 \\, \\text{km\/h} = 25 \\, \\text{m\/s}<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
        \n\n\n\n

        Question 2<\/strong>: Determine the acceleration of the car.<\/h3>\n\n\n\n

        Given:<\/h4>\n\n\n\n
          \n
        • Initial velocity (uu) = 25\u2009m\/s25 \\, \\text{m\/s} (assumed from the question context)<\/li>\n\n\n\n
        • Final velocity (vv) = 0\u2009m\/s0 \\, \\text{m\/s} (as the car stops)<\/li>\n\n\n\n
        • Time (tt) = 2\u2009s2 \\, \\text{s}<\/li>\n<\/ul>\n\n\n\n

          Formula for acceleration (aa):<\/h4>\n\n\n\n

          a=v\u2212uta = \\frac{v – u}{t}<\/p>\n\n\n\n

          Calculation:<\/h4>\n\n\n\n

          a=0\u2212252=\u221212.5\u2009m\/s2a = \\frac{0 – 25}{2} = -12.5 \\, \\text{m\/s}^2<\/p>\n\n\n\n

            \n
          • The negative sign indicates deceleration.<\/li>\n\n\n\n
          • Answer<\/strong>: The acceleration is \u221212.5\u2009m\/s2-12.5 \\, \\text{m\/s}^2.<\/li>\n<\/ul>\n\n\n\n
            \n\n\n\n

            Explanations (300 words)<\/strong>:<\/h3>\n\n\n\n
              \n
            1. Question 1 Explanation<\/strong>: To convert speeds between units, you use standard conversion factors. 1\u2009km1 \\, \\text{km} equals 0.621371\u2009miles0.621371 \\, \\text{miles}, so multiplying 90\u2009km\/h90 \\, \\text{km\/h} by 0.6213710.621371 converts it to miles per hour. Similarly, converting to meters per second requires dividing kilometers by the number of seconds in an hour. Thus, 90\u2009km\/h=25\u2009m\/s90 \\, \\text{km\/h} = 25 \\, \\text{m\/s}. This is useful for comparing speeds in different unit systems.<\/li>\n\n\n\n
            2. Question 2 Explanation<\/strong>: Acceleration measures the rate of change of velocity over time. If a car’s velocity decreases, the acceleration is negative, termed deceleration. The formula for acceleration is a=v\u2212uta = \\frac{v – u}{t}, where vv is final velocity, uu is initial velocity, and tt is the time taken. Substituting the given values (u=25\u2009m\/s,v=0\u2009m\/s,t=2\u2009su = 25 \\, \\text{m\/s}, v = 0 \\, \\text{m\/s}, t = 2 \\, \\text{s}), the acceleration is \u221212.5\u2009m\/s2-12.5 \\, \\text{m\/s}^2. This means the car slows down at a rate of 12.5\u2009m\/s212.5 \\, \\text{m\/s}^2 every second.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

              1        Convert 90 kilometres per hour to (a) miles per hour (b) meters per second?. 2        The driver of a car steps on the brakes, and the velocity drops from  due east to  due east in a time of 2 seconds. What is the acceleration?Er. due vie ii. The correct answer and explanation is: Question 1: Convert […]<\/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-184987","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/184987","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=184987"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/184987\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=184987"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=184987"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=184987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}