A skydiver weighing 120kg drops vertically from a jet flying at 4.000m. Assume the force due to air resistance to be proportional to the velocity of the skydiver, with the proportionality constant b1= 20 N⋅sec/m before the cute is opened, and b2= 100 N⋅sec/m after the chute is opened. If the skydiver opens the chute after 60 seconds of free fall, find: a. The total amount of time elapsed between dropping out of the plane and landing. b. The velocity of the skydiver at the instant of landing on the ground.

Let anet, v be instantaneous acceleration and velocity, respectively. Net force, Fnet=120 kg·anet…

Answered: A skydiver weighing 120kg drops…

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 skydiver weighing 120kg drops vertically from a jet flying at 4.000m. Assume the force due to air resistance to be proportional to the velocity of the skydiver, with the proportionality constant b₁= 20 N⋅sec/m before the cute is opened, and b₂= 100 N⋅sec/m after the chute is opened. If the skydiver opens the chute after 60 seconds of free fall, find:

a. The total amount of time elapsed between dropping out of the plane and landing.

b. The velocity of the skydiver at the instant of landing on the ground.

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