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Classical Mechanics

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Moderate

Drag Force and Terminal Velocity: Terminal Velocity of a Ball

CLMECH-ZPFW6L

A falling ball of mass $m$ is subject to a force of air resistance of $F_R = -bv$ in addition to its weight.

What is the terminal velocity of the ball? Let downwards be a negative direction.

A

$v = -b$

B

$v = -\cfrac{m}{b}$

C

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

D

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