A skydiver weighing 241 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.80|v| when the parachute is closed and 10|v| when the parachute is open, where the velocity v is measured in ft/s. Measure the positive direction of motion downward. Consider that s(0) = 0 ft. Use g=32 ft/s2

. Round your answers to two decimal places.

(a) Find the speed of the skydiver when the parachute opens.

(b) Find the distance fallen before the parachute opens.

(c) What is the limiting velocity vL
after the parachute opens?