A skydiver weighing 178 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute af 17s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.76 |v| when the parachute is closed and 12 |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(17) = i ft/s (b) Find the distance fallen before the parachute opens. x(17) = i ft (c) What is the limiting velocity v₁ after the parachute opens? VL = i ft/s

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A skydiver weighing 178 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after
17s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.76 |v| when the parachute is
closed and 12 |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(17) = i
ft/s
(b) Find the distance fallen before the parachute opens.
x(17) = i
ft
(c) What is the limiting velocity v after the parachute opens?
VL =
i
ft/s
Transcribed Image Text:A skydiver weighing 178 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 17s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.76 |v| when the parachute is closed and 12 |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(17) = i ft/s (b) Find the distance fallen before the parachute opens. x(17) = i ft (c) What is the limiting velocity v after the parachute opens? VL = i ft/s
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