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The motion of a body falling from rest in a viscous
P medium is described by \( \frac{d v}{d t}=A-B v \), where \( A \) and \( B \)

W arc constants.
The velocity at time \( t \) is given by:
(1) \( \frac{A}{B}\left(1-e^{-B t}\right) \)
(2) \( A\left(1-e^{-B^{2} t}\right) \)
(3) \( A B e^{-\mathrm{t}} \)
(4) \( A B^{2}(1-t) \)
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