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The position x of a particle varies with...

The position `x` of a particle varies with time `t` as `x=at^(2)-bt^(3)`. The acceleration at time `t` of the particle will be equal to zero, where (t) is equal to .`

A

`(2a)/(3b)`

B

`(a)/(b)`

C

`(a)/(3b)`

D

zero

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The correct Answer is:
C
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