{"id":6633,"date":"2026-03-31T06:41:58","date_gmt":"2026-03-31T01:11:58","guid":{"rendered":"https:\/\/enlightify.org\/?p=6633"},"modified":"2026-06-13T17:37:31","modified_gmt":"2026-06-13T12:07:31","slug":"equations-of-motion","status":"publish","type":"post","link":"https:\/\/enlightify.org\/hi\/equations-of-motion\/","title":{"rendered":"Equations of Motion"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"6633\" class=\"elementor elementor-6633\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0b91c92 e-flex e-con-boxed e-con e-parent\" data-id=\"0b91c92\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-8c3bfe5 elementor-widget elementor-widget-html\" data-id=\"8c3bfe5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1>Equations of Motion<\/h1>\n\n<h2>Introduction<\/h2>\n<p>\nThe equations of motion describe the relationship between displacement, velocity, acceleration, and time for uniformly accelerated motion. These equations are very useful in solving numerical problems related to motion.\n<\/p>\n\n<h2>First Equation of Motion<\/h2>\n\n<p><strong>Equation:<\/strong> v = u + at<\/p>\n\n<p>\nThis equation gives the final velocity of an object when initial velocity, acceleration, and time are known.\n<\/p>\n\n<ul>\n  <li><strong>v<\/strong> = Final velocity (m\/s)<\/li>\n  <li><strong>u<\/strong> = Initial velocity (m\/s)<\/li>\n  <li><strong>a<\/strong> = Acceleration (m\/s\u00b2)<\/li>\n  <li><strong>t<\/strong> = Time (s)<\/li>\n<\/ul>\n\n<p><strong>Example:<\/strong> A car starts with velocity 5 m\/s and accelerates at 2 m\/s\u00b2 for 4 s.<\/p>\n<p><strong>v = 5 + (2 \u00d7 4) = 13 m\/s<\/strong><\/p>\n\n<p><strong>Illustration:<\/strong><\/p>\n\n<div style=\"max-width:100%;\">\n<svg viewbox=\"0 0 700 250\" width=\"100%\" style=\"border:1px solid black;\">\n  <line x1=\"70\" y1=\"130\" x2=\"630\" y2=\"130\" style=\"stroke:black;stroke-width:3\"\/>\n  <polygon points=\"630,130 617,124 617,136\" style=\"fill:black\"\/>\n\n  <circle cx=\"120\" cy=\"130\" r=\"5\" fill=\"black\"\/>\n  <circle cx=\"520\" cy=\"130\" r=\"5\" fill=\"black\"\/>\n\n  <text x=\"90\" y=\"115\">Start<\/text>\n  <text x=\"495\" y=\"115\">End<\/text>\n\n  <text x=\"200\" y=\"90\">u = 5 m\/s<\/text>\n  <text x=\"400\" y=\"90\">v = 13 m\/s<\/text>\n  <text x=\"300\" y=\"170\">a = 2 m\/s\u00b2, t = 4 s<\/text>\n<\/svg>\n<\/div>\n\n<hr>\n\n<h2>Second Equation of Motion<\/h2>\n\n<p><strong>Equation:<\/strong> s = ut + \u00bdat\u00b2<\/p>\n\n<p>\nThis equation gives the displacement of an object when initial velocity, acceleration, and time are known.\n<\/p>\n\n<ul>\n  <li><strong>s<\/strong> = Displacement (m)<\/li>\n  <li><strong>u<\/strong> = Initial velocity (m\/s)<\/li>\n  <li><strong>a<\/strong> = Acceleration (m\/s\u00b2)<\/li>\n  <li><strong>t<\/strong> = Time (s)<\/li>\n<\/ul>\n\n<p><strong>Example:<\/strong> u = 6 m\/s, a = 3 m\/s\u00b2, t = 5 s<\/p>\n<p><strong>s = (6 \u00d7 5) + \u00bd \u00d7 3 \u00d7 25 = 30 + 37.5 = 67.5 m<\/strong><\/p>\n\n<p><strong>Illustration:<\/strong><\/p>\n\n<div style=\"max-width:100%;\">\n<svg viewbox=\"0 0 700 260\" width=\"100%\" style=\"border:1px solid black;\">\n  <line x1=\"70\" y1=\"130\" x2=\"630\" y2=\"130\" style=\"stroke:black;stroke-width:3\"\/>\n  <polygon points=\"630,130 617,124 617,136\" style=\"fill:black\"\/>\n\n  <circle cx=\"120\" cy=\"130\" r=\"5\" fill=\"black\"\/>\n  <circle cx=\"520\" cy=\"130\" r=\"5\" fill=\"black\"\/>\n\n  <text x=\"90\" y=\"115\">Start<\/text>\n  <text x=\"495\" y=\"115\">End<\/text>\n\n  <text x=\"200\" y=\"90\">u = 6 m\/s<\/text>\n  <text x=\"400\" y=\"90\">a = 3 m\/s\u00b2<\/text>\n  <text x=\"300\" y=\"170\">t = 5 s<\/text>\n  <text x=\"260\" y=\"210\">s = 67.5 m<\/text>\n<\/svg>\n<\/div>\n\n<hr>\n\n<h2>Third Equation of Motion<\/h2>\n\n<p><strong>Equation:<\/strong> v\u00b2 = u\u00b2 + 2as<\/p>\n\n<p>\nThis equation relates velocity, acceleration, and displacement without using time.\n<\/p>\n\n<ul>\n  <li><strong>v<\/strong> = Final velocity (m\/s)<\/li>\n  <li><strong>u<\/strong> = Initial velocity (m\/s)<\/li>\n  <li><strong>a<\/strong> = Acceleration (m\/s\u00b2)<\/li>\n  <li><strong>s<\/strong> = Displacement (m)<\/li>\n<\/ul>\n\n<p><strong>Example:<\/strong> u = 8 m\/s, a = 2 m\/s\u00b2, s = 50 m<\/p>\n<p><strong>v\u00b2 = 64 + 200 = 264 \u2192 v \u2248 16.25 m\/s<\/strong><\/p>\n\n<p><strong>Illustration:<\/strong><\/p>\n\n<div style=\"max-width:100%;\">\n<svg viewbox=\"0 0 700 250\" width=\"100%\" style=\"border:1px solid black;\">\n  <line x1=\"70\" y1=\"130\" x2=\"630\" y2=\"130\" style=\"stroke:black;stroke-width:3\"\/>\n  <polygon points=\"630,130 617,124 617,136\" style=\"fill:black\"\/>\n\n  <circle cx=\"120\" cy=\"130\" r=\"5\" fill=\"black\"\/>\n  <circle cx=\"520\" cy=\"130\" r=\"5\" fill=\"black\"\/>\n\n  <text x=\"90\" y=\"115\">Start<\/text>\n  <text x=\"495\" y=\"115\">End<\/text>\n\n  <text x=\"200\" y=\"90\">u = 8 m\/s<\/text>\n  <text x=\"400\" y=\"90\">v \u2248 16.25 m\/s<\/text>\n  <text x=\"300\" y=\"170\">a = 2 m\/s\u00b2, s = 50 m<\/text>\n<\/svg>\n<\/div>\n\n<hr>\n\n<h2>Important Points<\/h2>\n<ul>\n  <li>These equations are valid only for uniform acceleration.<\/li>\n  <li>First equation gives velocity with time.<\/li>\n  <li>Second equation gives displacement with time.<\/li>\n  <li>Third equation is used when time is not given.<\/li>\n<\/ul>\n\n<h2>Conclusion<\/h2>\n<p>\nEquations of motion are very important in physics. They help us find unknown quantities like velocity, displacement, and acceleration in a simple way. These equations are widely used in solving numerical problems of motion.\n<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Equations of Motion Introduction The equations of motion describe the relationship between displacement, velocity, acceleration, and time for uniformly accelerated motion. These equations are very useful in solving numerical problems related to motion. First Equation of Motion Equation: v = u + at This equation gives the final velocity of an object when initial velocity, [&hellip;]<\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"open","ping_status":"open","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":"set","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":[98],"tags":[],"class_list":["post-6633","post","type-post","status-publish","format-standard","hentry","category-physics"],"_links":{"self":[{"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/posts\/6633","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/comments?post=6633"}],"version-history":[{"count":1,"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/posts\/6633\/revisions"}],"predecessor-version":[{"id":7248,"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/posts\/6633\/revisions\/7248"}],"wp:attachment":[{"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/media?parent=6633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/categories?post=6633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/enlightify.org\/hi\/wp-json\/wp\/v2\/tags?post=6633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}