A skydiver weighing 193 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 16 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.75 |v| when the parachute is closed and 15 |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(16) = i ft/s (b) Find the distance fallen before the parachute opens. x(16) = i ft (c) What is the limiting velocity v₁ after the parachute opens? VL VL = 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

Modelling with First Order Differential Equation.    "Pls box your answer" 

A skydiver weighing 193 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after
16 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.75 |v| when the parachute is
closed and 15 |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(16) = i
ft/s
(b) Find the distance fallen before the parachute opens.
x(16) = i
ft
(c) What is the limiting velocity v₁ after the parachute opens?
VL
VL =
i
ft/s
Transcribed Image Text:A skydiver weighing 193 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 16 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.75 |v| when the parachute is closed and 15 |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(16) = i ft/s (b) Find the distance fallen before the parachute opens. x(16) = i ft (c) What is the limiting velocity v₁ after the parachute opens? VL VL = i ft/s
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