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Drag Force and Terminal Velocity: Skydiver Velocity

CLMECH-30TLUZ

A skydiver jumps from a plane with an initial vertical velocity of zero. As he falls, the skydiver is subject to a drag force of $F_d = -bv$.

What is the velocity of the skydiver as a function of time?

A

$v = -\cfrac{mg}{b}t$

B

$v = e^{-\frac{b}{m}(t + g)}$

C

$v = -\cfrac{m}{b}\left (e^{-\frac{b}{m}t} + g\right )$

D

$v = \cfrac{mg}{b}\left (e^{-\frac{b}{m}t} - 1\right )$