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The distance covered by a particle varie...

The distance covered by a particle varies with as `x=k/b(1-e^(-bt))`. The speed of particle at time `t` is

A

`ke^(-bt)`

B

`kb e^(-bt)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
`x=k/b(1-e^(-bt))`
`v=(dx)/(dt)=k/b{0-e^(-bt)(-b)}`
`=k e^(-bt)`
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