A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 0s 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 losed and 10 |v| when the parachute is open, where the velocity v is measured in ft/s. Jse g = 32 ft/s². Round your answers to two decimal places. a) Find the speed of the skydiver when the parachute opens. -(10) = i ft/s b) Find the distance fallen before the parachute opens. =(10) = i c) What is the limiting velocity v after the parachute opens? L ft i ft/s

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after
10s 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(10) = i
(b) Find the distance fallen before the parachute opens.
x(10) = i
VL
(c) What is the limiting velocity v after the parachute opens?
=
ft/s
i
ft
ft/s
Transcribed Image Text:A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 10s 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(10) = i (b) Find the distance fallen before the parachute opens. x(10) = i VL (c) What is the limiting velocity v after the parachute opens? = ft/s i ft ft/s
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