A 50.0-kg parachutist jumps from an airplane and falls to Earth with a drag force proportional to the square of the speed, R = Cv2. Take C = 0.200 kg/m (with the parachute closed) and C = 20.0 kg/m (with the chute open). (a) Determine the terminal speed of the parachutist in both configurations, before and after the chute is opened. (b) Set up a numerical analysis of the motion and compute the speed and position as functions of time, assuming the jumper begins the descent at 1 000 m above the ground and is in free fall for 10.0 s before opening the parachute. (Suggestion: When the parachute opens, a sudden large acceleration takes place; a smaller time step may be necessary in this region.)