{"id":3689,"date":"2023-01-09T10:16:14","date_gmt":"2023-01-09T10:16:14","guid":{"rendered":"https:\/\/9thclass.deltapublications.in\/?page_id=3689"},"modified":"2024-11-26T11:16:48","modified_gmt":"2024-11-26T11:16:48","slug":"s-8-c-rate-of-change-of-velocity","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/s-8-c-rate-of-change-of-velocity\/","title":{"rendered":"S-8.c Rate Of Change Of Velocity"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Rate Of Change Of Velocity<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-f79afd6ea8b322268468366b8e5f7cc7\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-6977b0fee579be962c4abb88331c356f\" style=\"color:#000060\"><strong>Definition of Velocity<\/strong>:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"733\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/Untitled-design-60.png\" alt=\"\" class=\"wp-image-16184\" style=\"width:459px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/Untitled-design-60.png 733w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/Untitled-design-60-300x205.png 300w\" sizes=\"auto, (max-width: 733px) 100vw, 733px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Velocity refers to the speed of an object in a given direction.<\/li>\n\n\n\n<li>It is a vector quantity, meaning it has both magnitude and direction.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-260816a253ba11241bb532b781bd1792\" style=\"color:#000060\"><strong>Rate of Change of Velocity<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The rate of change of velocity is referred to as <strong>acceleration<\/strong>.<\/li>\n\n\n\n<li>Mathematically, acceleration (aaa) is defined as: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">a = \u0394v \/ \u0394ta <\/p>\n\n\n\n<p class=\"has-text-align-center\">where \u0394v is the change in velocity and \u0394t is the time interval.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-c78be88c2c7bf02221bd8158e13d1580\" style=\"color:#000060\"><strong>Types of Acceleration<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Positive Acceleration<\/strong>: Velocity increases with time (e.g., a car speeding up).<\/li>\n\n\n\n<li><strong>Negative Acceleration (Deceleration)<\/strong>: Velocity decreases with time (e.g., a car slowing down).<\/li>\n\n\n\n<li><strong>Zero Acceleration<\/strong>: Velocity remains constant.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ce2fa81c4a3068ca5bc88d70389d87ee\" style=\"color:#000060\"><strong>Uniform Acceleration<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When the velocity of an object changes by an equal amount in equal intervals of time, the acceleration is uniform.<\/li>\n\n\n\n<li>Example: A freely falling object under gravity has uniform acceleration ( 9.8\u2009m\/s<sup>2<\/sup> ).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-7ef9d83348c25a8ed8a5a9445c2e192f\" style=\"color:#000060\"><strong>Non-Uniform Acceleration<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the velocity changes by unequal amounts in equal time intervals, the acceleration is non-uniform.<\/li>\n\n\n\n<li>Example: A car accelerating at varying speeds in traffic.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ca7090ea50d92b9639ba46991f4d3e6b\" style=\"color:#000060\"><strong>Units of Acceleration<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>SI Unit: m\/s<sup>2<\/sup> (meters per second squared).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5e0fbcc4ad9cc874c72002c4f824c438\" style=\"color:#000060\"><strong>Graphical Representation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Velocity-Time Graph:\n<ul class=\"wp-block-list\">\n<li>The slope of the velocity-time graph gives the acceleration.<\/li>\n\n\n\n<li>A straight line indicates uniform acceleration, while a curve indicates non-uniform acceleration.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-2c08ec35584155cc39d053f9ed71923b\" style=\"color:#000060\"><strong>Real-Life Examples<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A ball rolling down a slope (positive acceleration).<\/li>\n\n\n\n<li>A cyclist applying brakes (negative acceleration).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-f42fd5fb9de00efeab18586b91f506af\" style=\"color:#000060\"><strong>Practical Applications<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understanding the motion of vehicles.<\/li>\n\n\n\n<li>Designing safe braking systems in cars.<\/li>\n\n\n\n<li>Predicting motion in physics and engineering problems.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-c71c9f2b3626f67ea6f8c91a71a997ed\" style=\"color:#000060\"><strong>Key Formulae<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>a = vf\u2212vi \/ t\u200b\u200b, where:\n<ul class=\"wp-block-list\">\n<li>vf\u200b: Final velocity.<\/li>\n\n\n\n<li>vi: Initial velocity.<\/li>\n\n\n\n<li>t: Time taken.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Velocity under constant acceleration: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">v = u + at<\/p>\n\n\n\n<p>where u: Initial velocity, a: Acceleration, t: Time.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#d90000\">Let&#8217;s practice!<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/82459\/752\/703\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-2-33.png\" alt=\"\" class=\"wp-image-6438\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-2-33.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-2-33-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-2-33-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/81560\/004\/558\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-1-35.png\" alt=\"\" class=\"wp-image-6439\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-1-35.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-1-35-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-1-35-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Rate Of Change Of Velocity Key Notes: Definition of Velocity: Rate of Change of Velocity: a = \u0394v \/ \u0394ta where \u0394v is the change in velocity and \u0394t is the time interval. Types of Acceleration: Uniform Acceleration: Non-Uniform Acceleration: Units of Acceleration: Graphical Representation: Real-Life Examples: Practical Applications: Key Formulae: v = u +<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/s-8-c-rate-of-change-of-velocity\/\">Continue reading <span class=\"screen-reader-text\">&#8220;S-8.c Rate Of Change Of Velocity&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-3689","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3689","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=3689"}],"version-history":[{"count":13,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3689\/revisions"}],"predecessor-version":[{"id":16186,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3689\/revisions\/16186"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=3689"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}