A soldier jumps from a plane and opens his parachutewhen his velocity reaches the terminal velocity VT.The parachute slows him down to his landing velocity ofVF. After the parachute is deployed, the air resistance isproportional to the velocity squared (i.e., F = kV 2). Thesoldier, his parachute, and his gear have a total mass of m. Show that k = mg/ V F2 and develop a relation for the soldier’s velocity after he opens the parachute at time t 5 0.

A soldier jumps from a plane and opens his parachutewhen his velocity reaches the terminal velocity VT.The parachute slows him down to his landing velocity ofVF. After the parachute is deployed, the air resistance isproportional to the velocity squared (i.e., F = kV 2). Thesoldier, his parachute, and his gear have a total mass of m. Show that k = mg/ V F2 and develop a relation for the soldier’s velocity after he opens the parachute at time t 5 0.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

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