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A particle located at x = 0 at time t =...

A particle located at `x = 0` at time `t = 0`, starts moving along with the positive ` x-direction` with a velocity 'v' that varies as ` v = a sqrt(x)`. The displacement of the particle varies with time as

A

`t^3`

B

t

C

`t^(1//2)`

D

`t^2`

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The correct Answer is:
D
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