Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In the absence of air resistance, a ball dropped from a height h 2h seconds to fall to the ground, where g 9.8m /s? is the acceleration due to gravity. The time taken to bounce up to a given height equals the g requires time to fall from that height to the ground. How long does it take for a ball dropped from 17 m to come to rest? It will take O seconds for a ball dropped from 17 m to come to rest. (Type an exact answer, using radicals as needed.)

A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 10s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77 |v| when the parachute is closed and 10|v| when the parachute is open, where the velocity v is measured in ft/s. Use g = 32 ft/s². Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. v(10) = i (b) Find the distance fallen before the parachute opens. x(10) = i VL (c) What is the limiting velocity v after the parachute opens? = ft/s i ft ft/s