A man jumps out of an airplane at an altitude of 16,000 feet and falls freely for 20 seconds before opening his parachute. Assume linear air resistance, Fa = -kv. Assume that k = 0.18 without the parachute and k = 1.8 with the parachute.
Write down the differential equation that describes the velocity before he opens hisparachute. What is his terminal velocity?
What will his velocity be at the instant he opens his parachute.
What will the man's altitude be at the moment he opens his parachute?
Write down the differential equation describing his motion after opening his parachute. Solve the IVP.
How long will it take for the man to finally reach the ground?