my" + 5y + 120y = mg 100 75 25[ -

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.5: Percents
Problem 23OE
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A linear second-order non-homogeneous equation models this scenario: People falling at a height of 100ft above the ground attached to a 100-foot rope into a pit that's cut off at 75 feet underground. Spring constant of the rope is 120 lbs/ft, and air resistance is 5 times the instantaneous velocity. M is mass of person and g is gravity. Note that the pit is actually 100 ft deep, it's just cut off 25 ft from the bottom to make the pit 75 feet deep. What are the initial conditions of the height y(t) of the person falling at time t? The equation is my''+5y'+120y=mg

my" + 5y + 120y = mg
100
75
25[
-
Transcribed Image Text:my" + 5y + 120y = mg 100 75 25[ -
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