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# Notes on Terminal Velocity

A falling object toward the earth falls with an acceleration of 9.81 m/s² or 32.18 ft/s². The “drag force” that resists  motion is approximately proportional to the square of its velocity but at low velocity the drag is  less than  gravitational force hence the object accelerates. The drag increases as it accelerates  until  at last it equals the weight. Drag is also dependant on the projected area.

Mathematically, terminal velocity without considering the buoyancy effects is given by

where

Vt = terminal velocity,
m = mass of the falling object,
g = acceleration due to gravity,
Cd = drag coefficient,
ρ = density of the fluid through which the object is falling, and
A = projected area of the object.