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The motion of a body falling from rest i...

The motion of a body falling from rest in a resting medium is described by the equation `(dv)/(dt)=a-bv`, where `a` and `b` are constant. The velocity at any time `t` is

A

`(A)/(B)(1-e^(-Bt))`

B

`A(1-e^(-B^(2)t))`

C

`Abe^(-t)`

D

`AB^(2)(1-t)`

Text Solution

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The correct Answer is:
A
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