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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. Then the magnitude of displacement (in meters) by the particle from time t = 0 to t = t will be :

A

`(2)/(pi^(2))sinpit-(2t)/(pi)`

B

`-(2)/(pi^(2))sinpit+(2t)/(pi)`

C

`(2t)/(pi)`

D

none of these

Text Solution

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The correct Answer is:
B
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