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A skydiver weighing 222 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 12 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 14 |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(12) = ft/s (b) Find the distance fallen before the parachute opens. x(12) = i ft (c) What is the limiting velocity v after the parachute opens? VL = ft/s

A skydiver weighing 222 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 12 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 14 |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(12) = ft/s (b) Find the distance fallen before the parachute opens. x(12) = i ft (c) What is the limiting velocity v after the parachute opens? VL = ft/s

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A skydiver weighing 222 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 12 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 14 |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(12) = i ft/s (b) Find the distance fallen before the parachute opens. x(12) = i ft (c) What is the limiting velocity v after the parachute opens? VL = i ft/s
Transcribed Image Text:A skydiver weighing 222 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 12 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 14 |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(12) = i ft/s (b) Find the distance fallen before the parachute opens. x(12) = i ft (c) What is the limiting velocity v after the parachute opens? VL = i ft/s
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