Which will be moving faster after 3.0 s, a cyclist maintaining a constant velocity of 15 m\/s straight ahead or a race car accelerating forward from a stoplight at 4.0 m\/s^2″<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To determine which object will be moving faster after 3.0 seconds\u2014a cyclist maintaining a constant velocity of 15 m\/s or a race car accelerating from rest at 4.0 m\/s\u00b2\u2014we can use the equations of motion.<\/p>\n\n\n\n The cyclist is traveling at a constant velocity of 15 m\/s. Thus, the speed after any time period remains the same: The race car starts from rest (initial velocity (u = 0)) and accelerates at a rate of (a = 4.0 \\, \\text{m\/s}^2). We can calculate its velocity after 3.0 seconds using the formula for velocity under constant acceleration: Now, we compare the velocities after 3.0 seconds:<\/p>\n\n\n\n From the calculations, the cyclist is moving faster at 15 m\/s compared to the race car’s 12 m\/s after 3.0 seconds.<\/p>\n\n\n\n Thus, after 3.0 seconds, the cyclist maintaining a constant velocity of 15 m\/s will be moving faster than the race car, which is only able to reach 12 m\/s after accelerating from rest. This scenario illustrates how constant speed can sometimes outperform acceleration over a short time period, especially when the acceleration is moderate, as in the case of the race car.<\/p>\n","protected":false},"excerpt":{"rendered":" Which will be moving faster after 3.0 s, a cyclist maintaining a constant velocity of 15 m\/s straight ahead or a race car accelerating forward from a stoplight at 4.0 m\/s^2″ The Correct Answer and Explanation is: To determine which object will be moving faster after 3.0 seconds\u2014a cyclist maintaining a constant velocity of 15 […]<\/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-154583","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154583","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=154583"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154583\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=154583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=154583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=154583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Cyclist’s Velocity<\/h3>\n\n\n\n
[
v_{\\text{cyclist}} = 15 \\, \\text{m\/s}
]<\/p>\n\n\n\nRace Car’s Velocity<\/h3>\n\n\n\n
[
v = u + at
]
Substituting the known values:
[
v_{\\text{car}} = 0 + (4.0 \\, \\text{m\/s}^2)(3.0 \\, \\text{s}) = 12.0 \\, \\text{m\/s}
]<\/p>\n\n\n\nComparison<\/h3>\n\n\n\n
\n
Conclusion<\/h3>\n\n\n\n