?

Classical Mechanics

Free Version

Upgrade subject to access all content

Difficult

Drag Force and Terminal Velocity: Time to Reach 90% Terminal

CLMECH-SQZ4S6

A skydiver ($m = 75\space kg$) jumps from a plane with an initial vertical velocity of zero. As he falls, the skydiver is subject to a drag force of $F_d = -bv$, where $b = 1.6\space kg/s$.

How long does it take the skydiver to reach $90\%$ of his terminal velocity?

A

$460\space s$

B

$110\space s$

C

$96\space s$

D

$4.9\space s$