{"id":86399,"date":"2025-06-01T03:46:09","date_gmt":"2025-06-01T03:46:09","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86399"},"modified":"2025-06-01T03:46:09","modified_gmt":"2025-06-01T03:46:09","slug":"consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/","title":{"rendered":"Consider a journey by a car represented by the graph given below in th"},"content":{"rendered":"

Consider a journey by a car represented by the graph given below in three parts A, B and C. The speed of the car in these parts is va<\/sub>, vb<\/sub> and vc<\/sub>, respectively :
\n[Image shows a Distance vs Time graph with segments O-A, A-B, B-C representing the journey parts]
\nWhich one of the following is correct in this case ?<\/p>\n

[amp_mcq option1=”va<\/sub> < vb<\/sub> < vc<\/sub>” option2=”vb<\/sub> > va<\/sub> > vc<\/sub>” option3=”va<\/sub> = vb<\/sub> = vc<\/sub>” option4=”va<\/sub> > vb<\/sub>; va<\/sub> > vc<\/sub>” correct=”option4″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CDS-2 – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct answer is D) va<\/sub> > vb<\/sub>; va<\/sub> > vc<\/sub>.
\n<\/section>\n
\nIn a distance vs. time graph, the speed is represented by the slope of the graph (speed = change in distance \/ change in time).
\n– Part A (O-A): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is relatively steep.
\n– Part B (A-B): The graph is a horizontal line, meaning the distance is not changing over time. The slope is zero, indicating the car is stopped (vb<\/sub> = 0).
\n– Part C (B-C): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is less steep than in Part A.
\nComparing the slopes: Slope of A > Slope of C > Slope of B (which is 0). Therefore, va<\/sub> > vc<\/sub> > vb<\/sub>.
\nLooking at the options, D) va<\/sub> > vb<\/sub>; va<\/sub> > vc<\/sub> is the only option that correctly reflects the relationship va<\/sub> > vc<\/sub> and va<\/sub> > vb<\/sub> (since vb<\/sub> = 0).
\n<\/section>\n
\nA steeper slope on a distance-time graph indicates a higher speed, while a less steep slope indicates a lower speed. A horizontal line means the object is at rest, and a line with a negative slope would indicate movement back towards the starting point.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Consider a journey by a car represented by the graph given below in three parts A, B and C. The speed of the car in these parts is va, vb and vc, respectively : [Image shows a Distance vs Time graph with segments O-A, A-B, B-C representing the journey parts] Which one of the following … <\/p>\n

Detailed SolutionConsider a journey by a car represented by the graph given below in th<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1088],"tags":[1105,1129,1128],"class_list":["post-86399","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-2","tag-1105","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nConsider a journey by a car represented by the graph given below in th<\/title>\n<meta name=\"description\" content=\"The correct answer is D) va > vb; va > vc. In a distance vs. time graph, the speed is represented by the slope of the graph (speed = change in distance \/ change in time). - Part A (O-A): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is relatively steep. - Part B (A-B): The graph is a horizontal line, meaning the distance is not changing over time. The slope is zero, indicating the car is stopped (vb = 0). - Part C (B-C): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is less steep than in Part A. Comparing the slopes: Slope of A > Slope of C > Slope of B (which is 0). Therefore, va > vc > vb. Looking at the options, D) va > vb; va > vc is the only option that correctly reflects the relationship va > vc and va > vb (since vb = 0).\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Consider a journey by a car represented by the graph given below in th\" \/>\n<meta property=\"og:description\" content=\"The correct answer is D) va > vb; va > vc. In a distance vs. time graph, the speed is represented by the slope of the graph (speed = change in distance \/ change in time). - Part A (O-A): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is relatively steep. - Part B (A-B): The graph is a horizontal line, meaning the distance is not changing over time. The slope is zero, indicating the car is stopped (vb = 0). - Part C (B-C): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is less steep than in Part A. Comparing the slopes: Slope of A > Slope of C > Slope of B (which is 0). Therefore, va > vc > vb. Looking at the options, D) va > vb; va > vc is the only option that correctly reflects the relationship va > vc and va > vb (since vb = 0).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T03:46:09+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Consider a journey by a car represented by the graph given below in th","description":"The correct answer is D) va > vb; va > vc. In a distance vs. time graph, the speed is represented by the slope of the graph (speed = change in distance \/ change in time). - Part A (O-A): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is relatively steep. - Part B (A-B): The graph is a horizontal line, meaning the distance is not changing over time. The slope is zero, indicating the car is stopped (vb = 0). - Part C (B-C): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is less steep than in Part A. Comparing the slopes: Slope of A > Slope of C > Slope of B (which is 0). Therefore, va > vc > vb. Looking at the options, D) va > vb; va > vc is the only option that correctly reflects the relationship va > vc and va > vb (since vb = 0).","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/","og_locale":"en_US","og_type":"article","og_title":"Consider a journey by a car represented by the graph given below in th","og_description":"The correct answer is D) va > vb; va > vc. In a distance vs. time graph, the speed is represented by the slope of the graph (speed = change in distance \/ change in time). - Part A (O-A): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is relatively steep. - Part B (A-B): The graph is a horizontal line, meaning the distance is not changing over time. The slope is zero, indicating the car is stopped (vb = 0). - Part C (B-C): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is less steep than in Part A. Comparing the slopes: Slope of A > Slope of C > Slope of B (which is 0). Therefore, va > vc > vb. Looking at the options, D) va > vb; va > vc is the only option that correctly reflects the relationship va > vc and va > vb (since vb = 0).","og_url":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T03:46:09+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/","url":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/","name":"Consider a journey by a car represented by the graph given below in th","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T03:46:09+00:00","dateModified":"2025-06-01T03:46:09+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is D) va > vb; va > vc. In a distance vs. time graph, the speed is represented by the slope of the graph (speed = change in distance \/ change in time). - Part A (O-A): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is relatively steep. - Part B (A-B): The graph is a horizontal line, meaning the distance is not changing over time. The slope is zero, indicating the car is stopped (vb = 0). - Part C (B-C): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is less steep than in Part A. Comparing the slopes: Slope of A > Slope of C > Slope of B (which is 0). Therefore, va > vc > vb. Looking at the options, D) va > vb; va > vc is the only option that correctly reflects the relationship va > vc and va > vb (since vb = 0).","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-journey-by-a-car-represented-by-the-graph-given-below-in-th\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CDS-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cds-2\/"},{"@type":"ListItem","position":3,"name":"Consider a journey by a car represented by the graph given below in th"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86399","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=86399"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86399\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=86399"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=86399"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=86399"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}