A particle falls in Earth's gravity. The force of air resistance is F = ??v v(bold) where v(bold) is the velocity, v 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 23.5 m/s and the mass is 3.1 kg, determine the constant ?.
Suppose the initial velocity is 0. How far has the object fallen when the speed is one-half the terminal speed.