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A skydiver weighing 180lb (including equipment) falls vertically downward from an altitude of 6000 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.75|v|..when the parachute is closed and is of magnitude of 12|v| when the parachute is open, where the velocity v is measured in ft/s.


a) Find the speed of the skydiver when the parachute opens.

b) Find the distance fallen before the parachute opens.

c) What is the limiting velocity vL vafter the parachute opens?

(d) Determine how long the sky diver is in the air after the chute opens. 

 


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