InterviewSolution
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InterviewSolution
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The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity `v_0`. The distance travelled by the particle in time t will beA. `v_(0)t+(1)/(6)bt^(3)`B. `v_(0)t+(1)/(3)bt^(3)`C. `v_(0)t+(1)/(3)bt^(2)`D. `v_(0)t+(1)/(2)bt^(2)` |
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Answer» Correct Answer - A `a=bt` `therefore int_(upsilon_(0))^(upsilon)d upsilon=int adt = int_(0)^(1) bt.dt` `therefore upsilon=upsilon_(0)+(bt^(2))/(2)` Further integrating we get, `s=upsilon_(0)t+(bt^(3))/(6)` |
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