A man and his parachute weigh 160 lbs and fall from rest to the ground. Before he parachute opens, air resistance (in pounds) is numerically equal to 1/2v (where v is the instantaneous velocity in ft/s) and, from the moment it opens, the resistance is 5/8 v2. If the parachute opens at 5 s, calculate the skydiver's velocity at any second t:a) Before opening the parachute.b) Find the distance he has fallen before the parachute opens.c) After opening the parachute. topic: ORDINARY DIFFERENTIAL EQUATIONS

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Answered: A man and his parachute weigh 160 lbs…

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 man and his parachute weigh 160 lbs and fall from rest to the ground. Before he parachute opens, air resistance (in pounds) is numerically equal to 1/2
v (where v is the instantaneous velocity in ft/s) and, from the moment it opens, the resistance is 5/8 v². If the parachute opens at 5 s, calculate the skydiver's velocity at any second t:

a) Before opening the parachute.

b) Find the distance he has fallen before the parachute opens.

c) After opening the parachute.

topic: ORDINARY DIFFERENTIAL EQUATIONS

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