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The displacement of the particle varies ...

The displacement of the particle varies with time according to the relation `x=(k)/(b)[1-e^(-bt)]` . Then the velocity of the particle is

A

`k (e^(-bt) )`

B

`(k)/(b^2 e^(-bt))`

C

`kbe^(-bt)`

D

None of above

Text Solution

Verified by Experts

The correct Answer is:
A
`v = (dx)/(dt) = (d)/(dt) [ k/b (1- e^(-bt))]`
`= k/b[ 0-(-b)e^(-bt) ] = ke^(-bt)`
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