Let’s break down the questions and solve them step by step.<\/p>\n\n\n\n
- \n
- Fran\u2019s Drive:<\/strong>\n
- \n
- Fran first drives 60 km north and then drives 40 km south.<\/li>\n\n\n\n
- Distance covered<\/strong>: This is the total length of the path traveled, so it\u2019s 60 km + 40 km = 100 km<\/strong>.<\/li>\n\n\n\n
- Displacement<\/strong>: Displacement is the straight-line distance between the starting and ending points, including direction. Fran started 60 km north, and then drove 40 km south, so she ended 20 km north of her starting point. Therefore, her displacement is 20 km north<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
- Nicaria\u2019s Scooter Ride:<\/strong>\n
- \n
- Nicaria drives 10 km east, then stops for lunch, and then drives another 5 km.<\/li>\n\n\n\n
- Distance covered<\/strong>: Total distance is 10 km + 5 km = 15 km<\/strong>.<\/li>\n\n\n\n
- Displacement<\/strong>: Since she only moved east and there is no other change in direction, the displacement is a straight line along her path, which is 15 km east<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
- Ivan\u2019s Walk:<\/strong>\n
- \n
- Ivan walks 3 km east, then 2 km south, and then 10 km east.<\/li>\n\n\n\n
- Distance covered<\/strong>: This is simply the total length of the path: 3 km + 2 km + 10 km = 15 km<\/strong>.<\/li>\n\n\n\n
- Displacement<\/strong>: Ivan\u2019s final position is 13 km east (3 km + 10 km east) and 2 km south. To calculate the displacement, we can use the Pythagorean theorem: Displacement=(132+22)=169+4=173\u224813.15\u2009km\\text{Displacement} = \\sqrt{(13^2 + 2^2)} = \\sqrt{169 + 4} = \\sqrt{173} \\approx 13.15 \\, \\text{km}Displacement=(132+22)\u200b=169+4\u200b=173\u200b\u224813.15km Ivan\u2019s displacement is about 13.15 km<\/strong> in a southeast direction.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
- Joshua\u2019s Boat Trip:<\/strong>\n
- \n
- Joshua first rides 15 km south, then 6 km north.<\/li>\n\n\n\n
- Distance covered<\/strong>: The total distance traveled is 15 km south + 6 km north = 21 km<\/strong>.<\/li>\n\n\n\n
- Displacement<\/strong>: Since Joshua ended 9 km south of his starting point (15 km south minus 6 km north), his displacement is 9 km south<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
In summary:<\/p>\n\n\n\n
- \n
- Fran<\/strong> covered 100 km<\/strong> and her displacement is 20 km north<\/strong>.<\/li>\n\n\n\n
- Nicaria<\/strong> covered 15 km<\/strong> and her displacement is 15 km east<\/strong>.<\/li>\n\n\n\n
- Ivan<\/strong> covered 15 km<\/strong> and his displacement is about 13.15 km southeast<\/strong>.<\/li>\n\n\n\n
- Joshua<\/strong> covered 21 km<\/strong> and his displacement is 9 km south<\/strong>.<\/li>\n<\/ul>\n\n\n\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1851.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"omvu\/O\/c MJMZNZQOMJAZMTY4\/a\/MjcSNzkZNJCWNJcw\/details Distance and Displacement Worksheet For each question, plot the path on the grid paper: Fran drives 60km north. Then she drives back 40km south. What distance did she cover? What was her displacement? Nicaria drives her scooter 10 kilometres east. What distance did she cover? She stops for lunch and then drives 5 […]<\/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-269143","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269143","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=269143"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269143\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=269143"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=269143"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=269143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
- Nicaria<\/strong> covered 15 km<\/strong> and her displacement is 15 km east<\/strong>.<\/li>\n\n\n\n
- Displacement<\/strong>: Since Joshua ended 9 km south of his starting point (15 km south minus 6 km north), his displacement is 9 km south<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
- Displacement<\/strong>: Ivan\u2019s final position is 13 km east (3 km + 10 km east) and 2 km south. To calculate the displacement, we can use the Pythagorean theorem: Displacement=(132+22)=169+4=173\u224813.15\u2009km\\text{Displacement} = \\sqrt{(13^2 + 2^2)} = \\sqrt{169 + 4} = \\sqrt{173} \\approx 13.15 \\, \\text{km}Displacement=(132+22)\u200b=169+4\u200b=173\u200b\u224813.15km Ivan\u2019s displacement is about 13.15 km<\/strong> in a southeast direction.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
- Displacement<\/strong>: Since she only moved east and there is no other change in direction, the displacement is a straight line along her path, which is 15 km east<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
- Displacement<\/strong>: Displacement is the straight-line distance between the starting and ending points, including direction. Fran started 60 km north, and then drove 40 km south, so she ended 20 km north of her starting point. Therefore, her displacement is 20 km north<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n