{"id":124,"date":"2018-01-15T17:32:49","date_gmt":"2018-01-15T09:32:49","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=124"},"modified":"2018-01-15T17:32:49","modified_gmt":"2018-01-15T09:32:49","slug":"average-speed-and-average-velocity-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/average-speed-and-average-velocity-problems-and-solutions.htm","title":{"rendered":"Average speed and average velocity – problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

Solved Problems in Linear Motion<\/a> –\u00a0Average speed and average velocity<\/a><\/p>\n

1. A car travels along a straight road to the east for 100 meters in 4 seconds, then go the west for 50 meters in 1 second. Determine average speed and average velocity.<\/span><\/span><\/p>\n

Solution<\/span><\/span><\/p>\n

Distance = 100 meters + 50 meters = 150 meters<\/span><\/span><\/p>\n

Displacement<\/a> = 100 meters \u2013 50 meters = 50 meters, to east.<\/span><\/span><\/p>\n

Time elapsed = 4 seconds + 1 second = 5 seconds<\/span><\/span>.<\/span><\/span><\/p>\n

Average speed = Distance \/ time elapsed = 150 meters \/ 5 seconds = 30 meters\/second. <\/span><\/span><\/p>\n

Average velocity<\/a> = Displacement \/ time elapsed = 50 meters \/ 5 seconds = 10 meters\/second<\/span><\/span>. <\/span><\/span><\/p>\n

<\/p>\n

2. A person walks 4 meters east in 1 second, then walks 3 meters north in 1 second. Determine average speed and average velocity.<\/span><\/span><\/p>\n

Solution<\/span><\/span><\/p>\n

\"AverageDistance = 4 meters + 3 meters = 7 meters<\/u><\/span><\/span><\/p>\n

Displacement = <\/span><\/span> = meters, to northeast. <\/span><\/span><\/p>\n

Time elapsed = 1 second + 1 second = 2 seconds.<\/span><\/span><\/p>\n

Average speed = distance \/ time elapsed = 7 meters \/ 2 seconds = 3.5 meters\/second<\/u><\/span><\/span><\/p>\n

Average velocity = displacement \/ time elapsed = 5 meters \/ 2 seconds = 2.5 meters\/second <\/u><\/span><\/span><\/p>\n

<\/p>\n

3. <\/span><\/span>A runner travels around <\/span><\/span>rectangle track with length = 50 meters and width = 20 meters. After travels around rectangle track two times, runner back to starting point. If time elapsed = 100 seconds, determine average speed and average velocity. <\/span><\/span><\/span><\/p>\n

Solution<\/span><\/span><\/p>\n

Circumference of rectangle = <\/span><\/span>2(50 meters) + 2(20 meters) = 100 meters + 40 meters = 140 meters.<\/span><\/span><\/p>\n

Travels around rectangle 2 times <\/span><\/span><\/span>= 2(140 meters) = 280 meters. <\/span><\/span><\/p>\n

Distance = 280 meter<\/u><\/span><\/span>.<\/span><\/span><\/p>\n

Displacement = 0 meter<\/u><\/span><\/span>. (<\/span><\/span>runner back to start point)<\/span><\/span><\/span><\/p>\n

Average speed = distance \/ time elapsed = 280 meters \/ 100 seconds = 2.8 meters\/second.<\/span><\/span><\/p>\n

Average velocity = displacement \/ time elapsed = 0 \/ 100 seconds = 0.<\/span><\/span><\/p>\n

<\/p>\n

[wpdm_package id=’505′]<\/p>\n

[wpdm_package id=’517′]<\/p>\n

    \n
  1. Distance and displacement<\/a><\/li>\n
  2. Average speed and average velocity<\/a><\/li>\n
  3. Constant velocity<\/a><\/li>\n
  4. Constant acceleration<\/a><\/li>\n
  5. Free fall motion<\/a><\/li>\n
  6. Down motion in free fall<\/a><\/li>\n
  7. Up and down motion in free fall<\/a><\/li>\n<\/ol>\n

    <\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

    Solved Problems in Linear Motion –\u00a0Average speed and average velocity 1. A car travels along a straight road to the east for 100 meters in 4 seconds, then go the west for 50 meters in 1 second. Determine average speed and average velocity. Solution Distance = 100 meters + 50 meters = 150 meters Displacement … Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Average speed and average velocity - problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-124","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/124","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=124"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/124\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=124"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=124"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=124"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}