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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

Go on decreasing with time

B

Be independent of `alpha and beta`

C

Drop to zero when `alpha=beta`

D

Go on increasing with time

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The correct Answer is:
D
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