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A particle moves with uniform acceleration alongstraight line AB.Its velocities at A and B are 2m/sand 14 m/s respectively. M is the mid point of AB.Ifthe particle takes 2 seconds to go from A to M,then time taken to travel from M to B is(1) 1s(2) 2s(3) 3(4) 45 |
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Answer» Answer: Explanation: => Here, A particle moves with uniform acceleration along STRAIGHT line AB.Its velocities at A and B are 2m/s and 14 m/s respectively. M is the mid point of AB. v²=u²+2as v² = 2² + 2as v² - 4 = 2as ...(1) 14² = v² + 2as 196 - v² = 2as ...(2) From eq (1) and (2), we get 196 - v² = v² - 4 2v² = 200 v² = 100 V = 10 m/s. => time taken to travel from A to M v = u + at1 t1 = v - 2 / a = 10 - 2 / a = 8 / a => time taken to travel from M to B t2 = 14 - v / a 14 - 10 / a = 4 / a => t2 / t1 = 4/a / 8/a = 1 / 2 a Thus, time taken to travel from M to B is 1s.
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