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The displacement x of a particle varies ...

The displacement `x` of a particle varies with time `t` as `x = ae^(-alpha t) + be^(beta t)`. Where `a,b, alpha` and `beta` positive constant.
The velocity of the particle will.

A

be independent of `beta`

B

drop to zero, when `alpha = beta`

C

decrease with time

D

increase with time

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The correct Answer is:
D
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