A soldier jumps from a plane and opens his parachute when his velocity reaches the terminal velocity VT. The parachute slows him down to his landing velocity of VF. After the parachute is deployed, the air resistance is proportional to the velocity squared (i.e., F = kV2). The soldier, his parachute, and his gear have a total mass of m. Show that and develop a relation for the soldier's velocity after he opens the parachute at time t = 0.
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