A parachutist whose mass is 80 kg drops from a helicopter hovering 1000 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b, 30 N-sec/m when the chute is closed and by 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 20 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec. The parachutist will reach the ground after 2.01 seconds.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A parachutist whose mass is 80 kg drops from a helicopter hovering 1000 m above the ground and falls toward the ground under the influence of gravity. Assume
that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b, = 30 N-sec/m when the chute is closed and
b, = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 20 m/sec, after how many seconds will the
parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec.
The parachutist will reach the ground after 2.01 seconds.
(Round to two decimal places as needed.)
Transcribed Image Text:A parachutist whose mass is 80 kg drops from a helicopter hovering 1000 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b, = 30 N-sec/m when the chute is closed and b, = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 20 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec. The parachutist will reach the ground after 2.01 seconds. (Round to two decimal places as needed.)
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