A parachutist having a mass m opens his parachute from an at rest position at a very high altitude If the atmospheric drag resistance is F D kv 2 , where k is a constant, determine his velocity when he has fallen for a time t What is his velocity when he lands on the ground This velocity is referre...

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A parachutist having a mass m opens his parachute from an at-rest position at a very high

Question:

A parachutist having a mass m opens his parachute from an at-rest position at a very high altitude. If the atmospheric drag resistance is F_D = kv², where k is a constant, determine his velocity when he has fallen for a time t. What is his velocity when he lands on the ground? This velocity is referred to as the terminal velocity, which is found by letting the time of fall t→∞.