{"id":664653,"date":"2023-07-14T11:27:38","date_gmt":"2023-07-14T05:57:38","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=664653"},"modified":"2025-04-28T13:03:23","modified_gmt":"2025-04-28T07:33:23","slug":"distance-and-displacement-3","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/","title":{"rendered":"Distance and displacement"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#What_is_Distance\" title=\"What is Distance?\">What is Distance?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#What_is_Displacement\" title=\"What is Displacement?\">What is Displacement?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#Distance\" title=\"Distance\">Distance<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#Distance_and_displacement\" title=\"Distance and displacement\">Distance and displacement<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#Difference_between_Distance_and_displacement\" title=\"Difference between Distance and displacement\">Difference between Distance and displacement<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#Problem_2\" title=\"Problem 2\">Problem 2<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#FAQs_on_Distance_and_Displacement\" title=\"FAQs on Distance and Displacement\">FAQs on Distance and Displacement<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#Is_displacement_a_vector_quantity_or_a_scalar\" title=\"Is displacement a vector quantity or a scalar? \">Is displacement a vector quantity or a scalar? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#When_is_displacement_equal_to_distance\" title=\"When is displacement equal to distance?\">When is displacement equal to distance?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/distance-and-displacement\/#When_can_displacement_be_greater_than_distance\" title=\"When can displacement be greater than distance? \">When can displacement be greater than distance? <\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Distance\"><\/span>What is Distance?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Distance is the length of the physical path traversed by a body. Distance is a scalar physical quantity.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Displacement\"><\/span>What is Displacement?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Displacement is the length of shortest path between start and end points. Displacement is a vector physical quantity and it points from start position to end position.<\/p>\n<p><strong>Let us take an example to understand it!<\/strong><\/p>\n<p><strong>Problem 1<\/strong><\/p>\n<p>An ant started from one corner of a floor of a cubical room of side length <em><strong>5m<\/strong><\/em> and walked on the floor. After some time, it was found at the diagonally opposite corner of the floor of the room. What is the displacement?<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Displacement = shortest distance between start and end positions = length of diagonal of the floor <strong>= \u221a5<sup>2<\/sup> + <em>\u221a<\/em>5<sup>2<\/sup> = 5\u221a2m<\/strong><\/p>\n<p>The displacement vector of the ant points from start position to END position.<\/p>\n<p>Notice we cannot say how much distance the ant covered. Because we do not know the path it took.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Distance\"><\/span>Distance<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>You go to your school from your home by car, covering 1 km on the road. After school, you go to market covering 1700 metres. You covered a total distance of 2.7 km. Here, as far as distance calculation is concerned, it is not at all important in which direction your car moved, or how many times it took turns. Direction is of no importance for distance calculation. There is no specific direction associated with 2.7 km.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Distance_and_displacement\"><\/span>Distance and displacement<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-664655\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Distance-and-displacement-300x215.png\" alt=\"Distance and displacement\" width=\"400\" height=\"287\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Distance-and-displacement-300x215.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Distance-and-displacement-768x551.png 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Distance-and-displacement.png 849w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>Suppose you go straight towards east for a distance of 4 km, and then you take a turn by 90 degrees towards north and travel for 4 km. How far are you and in which direction are you relative to start position?<\/p>\n<p>The adjacent diagram shows where you are finally (direction wise) relative to start position As you can see,<\/p>\n<ul>\n<li>You are shifted (displaced) by <em><strong>4\u221a2km<\/strong><\/em> from your start position along north-east. <strong>DISPLACEMENT<\/strong> = <em><strong>4\u221a2km<\/strong><\/em> <strong>along north-east.<\/strong><\/li>\n<li>You travelled a path length 8 km. <strong>Distance = 8 km.<\/strong><\/li>\n<\/ul>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/physics-articles\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Physics Articles<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/physics-formulas\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Physics Formulas<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/faradays-law\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Faraday&#8217;s law<\/button><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Difference_between_Distance_and_displacement\"><\/span>Difference between Distance and displacement<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"text-align: center;\"><strong>Distance <\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Displacement<\/strong><\/td>\n<\/tr>\n<tr>\n<td>It is the length of path traversed by a body<\/td>\n<td>It is the length of shortest distance between two points<\/td>\n<\/tr>\n<tr>\n<td>It is a scalar quantity<\/td>\n<td>It is a vector quantity. It points from start position to end position<\/td>\n<\/tr>\n<tr>\n<td>Odometer measures distance<\/td>\n<td>Displacement helps you to know where you are finally relative to initial position (shortest length and direction)<\/td>\n<\/tr>\n<tr>\n<td>Fuel consumption of a vehicle is based on distance<\/td>\n<td>In a game of snake and ladder, you start from 1 and when you win, you are at 100. Displacement of the dice is the shortest distance between 1 and 100. But we know while playing, the dice did not move along the straight line joining 1 and 100. It did many movements, before arriving at the box on which 100 is written.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Problem_2\"><\/span>Problem 2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>You go to market on a straight road for a length of 3 km and come back straight?<\/p>\n<p>What is the distance and displacement?<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Displacement = shortest distance between start and end positions = zero (start and end positions coincide)<\/p>\n<p>Distance = 2 x 3 km = 6km<\/p>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Distance_and_Displacement\"><\/span>FAQs on Distance and Displacement<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Is_displacement_a_vector_quantity_or_a_scalar\"><\/span>Is displacement a vector quantity or a scalar? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tDisplacement is a vector quantity. It points from start position to end position. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"When_is_displacement_equal_to_distance\"><\/span>When is displacement equal to distance?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tWhen motion is restricted to a straight line without any turns. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"When_can_displacement_be_greater_than_distance\"><\/span>When can displacement be greater than distance? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tDisplacement can never be greater than distance. It can only be less than or equal to distance. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Is displacement a vector quantity or a scalar? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Displacement is a vector quantity. 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Distance is a scalar physical [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Distance and displacement","_yoast_wpseo_title":"Distance and Displacement: Definition, Formulas and Difference","_yoast_wpseo_metadesc":"Distance is the total length traveled, while displacement is the shortest path from start to end. distance is represented as \"d\" and displacement as \"\u0394x\".","custom_permalink":"articles\/distance-and-displacement\/"},"categories":[8442,8444],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Distance and Displacement: Definition, Formulas and Difference<\/title>\n<meta name=\"description\" content=\"Distance is the total length traveled, while displacement is the shortest path from start to end. 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