Skydiver weighing 165 Ibr (Including equipment) falls vertically downward 10 s 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. and opens the parachute afte Use g = 32 ft/s?. Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. v(10) = i ft/s (b) Find the distance fallen before the parachute opens. x(10) = i ft

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A skydiver weighing 163 Ibf (including equipment) falls vertically downward from an altitude of 4000 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 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(10) =
i
ft/s
(b) Find the distance fallen before the parachute opens.
x(10) =
i
ft
(c) What is the limiting velocity vị after the parachute opens?
VL =
i
ft/s
Transcribed Image Text:A skydiver weighing 163 Ibf (including equipment) falls vertically downward from an altitude of 4000 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 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(10) = i ft/s (b) Find the distance fallen before the parachute opens. x(10) = i ft (c) What is the limiting velocity vị after the parachute opens? VL = i ft/s
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