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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(1-b^(2t))`

B

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

C

`abe^(-t)`

D

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

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