A soldier jumps from a plane and opens his parachute when his velocity reaches the terminal velocity Vr. The parachute shows him down to his landing velocity of Vr. After the parachute is deployed, the air resistance force is proportional to the velocity squared, i.e., F = kV², where k is resistance coefficient. The soldier, his parachute, and his gear %3D have a total mass of m. (a) Show that k = mg/V; (b) Develop a relation for the soldier's velocity after he opens the parachute at time t = 0.

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A soldier jumps from a plane and opens his parachute when his velocity reaches the
terminal velocity Vr. The parachute shows him down to his landing velocity of Vr. After
the parachute is deployed, the air resistance force is proportional to the velocity squared,
i.e., F = kV², where k is resistance coefficient. The soldier, his parachute, and his gear
have a total mass of m.
(a) Show that k = mg/V;
(b) Develop a relation for the soldier's velocity after he opens the parachute at time 1 = 0.
Parachute
Figure Q5
Transcribed Image Text:A soldier jumps from a plane and opens his parachute when his velocity reaches the terminal velocity Vr. The parachute shows him down to his landing velocity of Vr. After the parachute is deployed, the air resistance force is proportional to the velocity squared, i.e., F = kV², where k is resistance coefficient. The soldier, his parachute, and his gear have a total mass of m. (a) Show that k = mg/V; (b) Develop a relation for the soldier's velocity after he opens the parachute at time 1 = 0. Parachute Figure Q5
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