{"id":245404,"date":"2022-09-10T08:47:39","date_gmt":"2022-09-10T03:17:39","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-point-moves-with-uniform-acceleration-and-v1-v2-and-v3-denote-the-average-velocities-in-the-three-successive-intervals-of-time-t1-t2-and-t3-which-of-the-following-relation-is-correct\/"},"modified":"2022-09-10T08:47:39","modified_gmt":"2022-09-10T03:17:39","slug":"a-point-moves-with-uniform-acceleration-and-v1-v2-and-v3-denote-the-average-velocities-in-the-three-successive-intervals-of-time-t1-t2-and-t3-which-of-the-following-relation-is-correct","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-point-moves-with-uniform-acceleration-and-v1-v2-and-v3-de\/","title":{"rendered":"A point moves with uniform acceleration and v1, v2 and v3 denote the average velocities in the three successive intervals of time t1 , t2 and t3. Which of the following relation is correct?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A point moves with uniform acceleration and v1, v2 and v3 denote the average velocities in the three successive intervals of time t1 , t2 and t3. Which of the following relation is correct?","custom_permalink":"question\/physics\/a-point-moves-with-uniform-acceleration-and-v1-v2-and-v3-de\/"},"categories":[],"acf":{"question":"<p>A point moves with uniform acceleration and v<sub>1<\/sub>, v<sub>2<\/sub> and v<sub>3<\/sub> denote the average velocities in the three successive intervals of time t<sub>1<\/sub> , t<sub>2<\/sub> and t<sub>3<\/sub>. Which of the following relation is correct?<\/p>","options":[{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><msub><mi>v<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>v<\/mi><mn>2<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><mo>=<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><msub><mi>t<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><msub><mi>v<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>v<\/mi><mn>2<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><mo>=<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><msub><mi>t<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><\/math><\/p>","correct":true},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><msub><mi>v<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>v<\/mi><mn>2<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><mo>=<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>t<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><msub><mi>v<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>v<\/mi><mn>2<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><mo>=<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>2<\/mn><\/msub><mo>-<\/mo><msub><mi>t<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><\/math><\/p>","correct":false}],"solution":"<p>Average velocity in uniformly accelerated motion is given by,<\/p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mi>v<\/mi><mrow><mi>a<\/mi><mi>v<\/mi><\/mrow><\/msub><mo>=<\/mo><mfrac><mi>s<\/mi><mi>t<\/mi><\/mfrac><mo>=<\/mo><mfrac><mrow><mi>u<\/mi><mi>t<\/mi><mo>+<\/mo><mstyle displaystyle=\"true\"><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mstyle><mi>a<\/mi><msup><mi>t<\/mi><mn>2<\/mn><\/msup><\/mrow><mi>t<\/mi><\/mfrac><mo>=<\/mo><mi>u<\/mi><mo>+<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mi>a<\/mi><mi>t<\/mi><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi>N<\/mi><mi>o<\/mi><mi>w<\/mi><mo>,<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><msub><mi>v<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><mi>u<\/mi><mo>+<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mi>a<\/mi><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mspace linebreak=\"newline\">&nbsp;<\/mspace><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><msub><mi>v<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mfenced><mrow><mi>u<\/mi><mo>+<\/mo><mi>a<\/mi><msub><mi>t<\/mi><mn>1<\/mn><\/msub><\/mrow><\/mfenced><mo>+<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mi>a<\/mi><msub><mi>t<\/mi><mn>2<\/mn><\/msub><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi>a<\/mi><mi>n<\/mi><mi>d<\/mi><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><msub><mi>v<\/mi><mn>3<\/mn><\/msub><mo>=<\/mo><mi>u<\/mi><mo>+<\/mo><mi>a<\/mi><mfenced><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>+<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mi>a<\/mi><msub><mi>t<\/mi><mn>3<\/mn><\/msub><mspace linebreak=\"newline\">&nbsp;<\/mspace><mo>\u2234<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mfenced><mrow><msub><mi>v<\/mi><mn>1<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>v<\/mi><mn>2<\/mn><\/msub><mo>-<\/mo><msub><mi>v<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><mo>=<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mo>:<\/mo><mfenced><mrow><msub><mi>t<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><msub><mi>t<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mfenced><mo>&nbsp;<\/mo><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A point moves with uniform acceleration and v1, v2 and v3 denote the average velocities in the three successive intervals of time t1 , t2 and t3. 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