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

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

A

`a(1-b^(2t))`

B

`(a)/(b)(1-e^(-bt))`

C

`abe^(-1)`

D

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

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The correct Answer is:
B
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