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A particle moves along x-axis and its acceleration at any time t is a = 2 sin (pit), where t is in seconds and a is in m/s^2 . The initial velocity of particle (at time t = 0) is u = 0. Q. The velocity of a particle moving in the direction ofx-axis varies as v = alpha, x, where alpha is a constant. Atthe moment t = 0, the particle was located at x = 0,thenIf the average velocity and average acceleration overthe time that the particle takes to cover first s meterof the path are equal then find out value of alpha.

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Answer :A


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