Provide an appropriate response.If a body of mass m falling from rest under the action of gravity encounters an air resistance proportional to two times the square root of velocity, then the body's velocity t seconds into the fall satisfies the equation: m = mg - 2kv2where k is a constant that depends on the body's aerodynamic properties and the density of the air.Determine the equilibrium, velocity curve, and the terminal velocity for a 140 lb skydiver (mg = 140) with k = 0.005.

A. Equilibrium: v = 

vterminal = 118.32 ft/sec
B. Equilibrium: v = 


vterminal = 118.32 ft/sec
C. Equilibrium: v = 




vterminal = 118.32 ft/sec
D. Equilibrium: v = 

vterminal = 118.32 ft/sec


Answer: D

Mathematics

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