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A particle moves along x-axis and its ac...

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 of x-axis varies as v = `alpha`, x, where `alpha` is a constant. At the moment t = 0, the particle was located at x = 0, then If the average velocity and average acceleration over the time that the particle takes to cover first s meter of the path are equal then find out value of `alpha`.

A

1

B

2

C

3

D

4

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A
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