A skydiver, weighing 180 lb (including equipment) fallsvertically downward from an altitude of 4000 ft and opens theparachute after 10 s of free fall. Assume that the force of airresistance, which is directed opposite to the velocity, is ofmagnitude 0.75|v| when the parachute is closed and is of magnitude10|v| when the parachute is open, where the velocity v is measuredin ft/s. (A computer algebra system is recommended. Use g = 32ft/s2 for the acceleration due to gravity. Round your answers totwo 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 velocityvL after the parachute opens?
(d) Determine how long the sky diver is in the air after theparachute opens.
e) Plot the graph of velocity versus time from the beginning ofthe fall until the skydiver reaches the ground.
