A skydiver weighing 299 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 11 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 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(11) = i ft/s (b) Find the distance fallen before the parachute opens. x(11) = i ft (c) What is the limiting velocity v₁, after the parachute opens? VL = ft/s M
A skydiver weighing 299 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 11 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 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(11) = i ft/s (b) Find the distance fallen before the parachute opens. x(11) = i ft (c) What is the limiting velocity v₁, after the parachute opens? VL = ft/s M
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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The absolute tolerance is ±0.01 "pls box your answer"
![A skydiver weighing 299 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after
11 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 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(11) = i
ft/s
(b) Find the distance fallen before the parachute opens.
x(11) = i
ft
(c) What is the limiting velocity v₁ after the parachute opens?
VL
VL =
i
ft/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeee8598-3236-45bd-b90f-cd52f7e3a4cd%2F4cb31c26-2bed-418c-9c20-037029cc1e75%2F6nl9dk5_processed.png&w=3840&q=75)
Transcribed Image Text:A skydiver weighing 299 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after
11 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 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(11) = i
ft/s
(b) Find the distance fallen before the parachute opens.
x(11) = i
ft
(c) What is the limiting velocity v₁ after the parachute opens?
VL
VL =
i
ft/s
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