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The acceleration of a particle is dependent on the velocity according to the equation $a(v) = -bv^2$.

Assuming that the particle's velocity at $t = 0$ is $v = v_0$, what is the velocity of the particle, $v(t)$, at any time $t$?

A

$v(t)=\cfrac{v_0}{v_0 bt +1}$

B

$v(t)=\cfrac{v_0}{1-v_0 bt}$

C

$v(t)=\cfrac {v_0 bt +1}{v_0}$

D

$ v = v_0 - 0.5 bt^2 $

E

$ \cfrac {1}{v-v_0} = -bt $

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