To determine the initial speed required for a ball to stay in the air for a total time of 10 seconds<\/strong>, we use kinematic equations. The key concept here is that the ball’s motion consists of two equal parts:<\/p>\n\n\n\n The total time in the air is 10 seconds<\/strong>, meaning the ball takes 5 seconds to reach its peak<\/strong> and another 5 seconds to fall back down<\/strong>.<\/p>\n\n\n\n For an object moving under gravity, the time to reach the highest point is given by:<\/p>\n\n\n\n [ where:<\/p>\n\n\n\n Rearranging the equation for ( v_0 ):<\/p>\n\n\n\n [ Substituting the values:<\/p>\n\n\n\n [ [ Among the options given, the closest value is about 50 m\/s<\/strong>.<\/p>\n\n\n\n The correct answer is: about 50 m\/s<\/strong>.<\/p>\n\n\n\n This means that if a ball is thrown straight up with an initial speed of about 50 m\/s<\/strong>, it will reach its highest point in 5 seconds and return to the ground in another 5 seconds, staying in the air for a total of 10 seconds.<\/p>\n\n\n\n A ball is thrown upwards. Neglecting air resistance, what initial upward speed does the ball need to remain in the air for a total time of 10 seconds? about 60 m\/sabout 50 m\/sabout 100 m\/sabout 110 m\/sabout 80 m\/s The correct answer and explanation is : To determine the initial speed required for a ball […]<\/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-199522","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199522","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=199522"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199522\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=199522"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=199522"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=199522"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
Step 1: Understanding Time of Flight<\/h3>\n\n\n\n
Step 2: Using the Kinematic Equation<\/h3>\n\n\n\n
t = \\frac{v_0}{g}
]<\/p>\n\n\n\n\n
v_0 = g \\cdot t
]<\/p>\n\n\n\n
v_0 = (9.81 \\, \\text{m\/s}^2) \\times (5 \\, \\text{s})
]<\/p>\n\n\n\n
v_0 \\approx 49.05 \\, \\text{m\/s}
]<\/p>\n\n\n\nStep 3: Choosing the Correct Answer<\/h3>\n\n\n\n
Conclusion<\/h3>\n\n\n\n
![\"\"\/](\"https:\/\/files.oaiusercontent.com\/file-4tSNYLLyMtViFnKEFggoH7?se=2025-03-12T04%3A48%3A43Z&sp=r&sv=2024-08-04&sr=b&rscc=max-age%3D604800%2C%20immutable%2C%20private&rscd=attachment%3B%20filename%3D2bcc061f-ff03-4b58-bce8-27c037925159.webp&sig=IbObrx263O\/Xso%2Bb8Vi9X8oZ50iZY4XvT4ujo6sQ8IQ%3D\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"