A skydiver weighing 203 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 14 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77 | D| when the parachute is closed and 10| | when the parachute is open, where the velocity v is measured in ft/s. Use g = 32 ft/s². Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. D(14)= ft/s (b) Find the distance fallen before the parachute opens

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A skydiver weighing 203 lbf (including equipment) falls
vertically downward from an altitude of 5000 ft and
opens the parachute after 14 s of free fall. Assume that
the force of air resistance, which is directed opposite to
the velocity, is 0.77 |v| when the parachute is closed
and 10 |v| when the parachute is open, where the
velocity v is measured in ft/s.
Use g = 32 ft/s². Round your answers to two decimal
places.
(a) Find the speed of the skydiver when the parachute
opens.
v(14) = i
(b) Find the distance fallen before the parachute opens.
x (14) = i
ft
ft/s
(c) What is the limiting velocity after the parachute
opens?
UL =
i
ft/s
Transcribed Image Text:A skydiver weighing 203 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 14 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77 |v| when the parachute is closed and 10 |v| when the parachute is open, where the velocity v is measured in ft/s. Use g = 32 ft/s². Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. v(14) = i (b) Find the distance fallen before the parachute opens. x (14) = i ft ft/s (c) What is the limiting velocity after the parachute opens? UL = i ft/s
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