{"id":2632,"date":"2026-05-18T16:47:31","date_gmt":"2026-05-18T07:47:31","guid":{"rendered":"https:\/\/training.contentsda.kr\/?post_type=courses&#038;p=2632"},"modified":"2026-05-18T07:47:32","modified_gmt":"2026-05-18T07:47:32","slug":"relative-velocity","status":"publish","type":"courses","link":"https:\/\/training.contentsda.kr\/ne\/courses\/relative-velocity\/","title":{"rendered":"Relative Velocity"},"content":{"rendered":"<p><strong>Definition:<\/strong> Relative velocity is the velocity of an object or observer in relation to the velocity of another object or observer. It describes how fast one object is moving concerning another.<\/p>\n<p><strong>Key Points:<\/strong><\/p>\n<ol>\n<li><strong>Frames of Reference:<\/strong>\n<ul>\n<li>Relative velocity depends on the frame of reference. Observers in different frames may measure different relative velocities.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Vector Quantity:<\/strong>\n<ul>\n<li>Relative velocity is a vector quantity, meaning it has both magnitude and direction. It indicates not only how fast objects are moving relative to each other but also in which direction.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Addition of Velocities:<\/strong>\n<ul>\n<li>The relative velocity of two objects moving in the same direction is the difference of their individual velocities.<\/li>\n<li>When moving in opposite directions, the relative velocity is the sum of their individual velocities.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Notation:<\/strong>\n<ul>\n<li>If <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathbf\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">A<\/span><span class=\"mord mathnormal mtight\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> is the relative velocity of A with respect to B, and <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathbf\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> and <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathbf\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">B<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> are the velocities of A and B respectively, then: <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathbf\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">A<\/span><span class=\"mord mathnormal mtight\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathbf\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathbf\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">B<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<li><strong>Applications:<\/strong>\n<ul>\n<li>Used in physics, engineering, and everyday scenarios to analyze the motion of objects in relation to each other.<\/li>\n<li>Important in navigation, air travel, and understanding celestial motions.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p><strong>Example:<\/strong><\/p>\n<ul>\n<li>If a person is walking at 5 m\/s on a moving train that is traveling at 20 m\/s, their relative velocity concerning the ground is <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">5\u2009m\/s\u221220\u2009m\/s=\u221215\u2009m\/s<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mord text\"><span class=\"mord\">m\/s<\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">20<\/span><span class=\"mord text\"><span class=\"mord\">m\/s<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">15<\/span><span class=\"mord text\"><span class=\"mord\">m\/s<\/span><\/span><\/span><\/span><\/span><\/span> (negative because they&#8217;re moving in the opposite direction).<\/li>\n<\/ul>\n<p><strong>Conclusion:<\/strong> Understanding relative velocity is crucial for analyzing motion in various contexts, providing insights into how objects move concerning each other and aiding in problem-solving in physics and engineering.<\/p>","protected":false},"excerpt":{"rendered":"<p>Definition: Relative velocity is the velocity of an object or observer in relation to the velocity of another object or observer. It describes how fast one object is moving concerning another. Key Points: Frames of Reference: Relative velocity depends on the frame of reference. Observers in different frames may measure different relative velocities. Vector Quantity: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3217,"template":"","course-category":[61,64,60],"course-tag":[],"class_list":["post-2632","courses","type-courses","status-publish","has-post-thumbnail","hentry","course-category-cardboard","course-category-free","course-category-webgl","pmpro-has-access"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/courses\/2632","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/courses"}],"about":[{"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/types\/courses"}],"author":[{"embeddable":true,"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":1,"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/courses\/2632\/revisions"}],"predecessor-version":[{"id":2634,"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/courses\/2632\/revisions\/2634"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/media\/3217"}],"wp:attachment":[{"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/media?parent=2632"}],"wp:term":[{"taxonomy":"course-category","embeddable":true,"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/course-category?post=2632"},{"taxonomy":"course-tag","embeddable":true,"href":"https:\/\/training.contentsda.kr\/ne\/wp-json\/wp\/v2\/course-tag?post=2632"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}