A particle falls in Earth's gravity. The force of air resistance is F = ??v1* v2 where v1 is the velocity, v2 is the speed, and ? is a constant. (The direction of the force is opposite to the velocity, and the magnitude of the force is ?v2.) If the terminal speed is 20.4 m/s and the mass is 2.3 kg, determine the constant ?.
F = mg- ?v^2
? = 5.42*10^-2 kg/m
Suppose the initial velocity is 0. How far has the object fallen when the speed is one-half the terminal speed?