posted by Sean on .
What would be the appearance of the speed-time curve if the fallng body where so light that the effect of air friction could not be neglected?
It would start out as a linear relationship
v = g t,
but the curve would eventually flatten out to a horizontal asymptote at the limiting velocity, V
The v(t) relationship is approximately:
v = V [ 1 - e^-(gt/Vlim)]
Actually, this assumes that the drag force is proportional to velocity and that the body is not an irregular shape that tumbles