A spring with a 7-kg mass and a damping constant 10 can be held stretched 1.5 meters beyond its natural length by a force of 3 newtons. Suppose the spring is stretched 3 meters beyond its natural length and then released with zero velocity. n2kg 2 /sec² help (numbers) In the notation of the text, what is the value c² - 4mk? m Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c₁eat + C₂est where απ (the larger of the two) help (numbers) В (the smaller of the two) help (numbers) C1 help (numbers) C2 help (numbers) Book: Section 2.4 of Notes on Diffy Qs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 51E
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A spring with a 7-kg mass and a damping constant 10 can be held stretched 1.5 meters
beyond its natural length by a force of 3 newtons. Suppose the spring is stretched 3 meters
beyond its natural length and then released with zero velocity.
n2kg 2 /sec² help (numbers)
In the notation of the text, what is the value c² - 4mk? m
Find the position of the mass, in meters, after t seconds. Your answer should be a function
of the variable t of the form c₁eat + C₂est where
απ
(the larger of the two) help (numbers)
В
(the smaller of the two) help (numbers)
C1
help (numbers)
C2
help (numbers)
Book: Section 2.4 of Notes on Diffy Qs
Transcribed Image Text:A spring with a 7-kg mass and a damping constant 10 can be held stretched 1.5 meters beyond its natural length by a force of 3 newtons. Suppose the spring is stretched 3 meters beyond its natural length and then released with zero velocity. n2kg 2 /sec² help (numbers) In the notation of the text, what is the value c² - 4mk? m Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c₁eat + C₂est where απ (the larger of the two) help (numbers) В (the smaller of the two) help (numbers) C1 help (numbers) C2 help (numbers) Book: Section 2.4 of Notes on Diffy Qs
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