Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 23 and k = 6 is set in motion with x(0) = 0 and x'(0) = 3. (a) Find the position function x(t) and show that its graph looks as indicated in the figure. (b) Find how far the mass moves to the right before starting back toward the origin. (a) x(t) = (Type an exact answer.) ... 2- 0- -O 0 −2 1 4 6 -SO -00 8 10

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Hello, need help with parts A and B. Thank you
Suppose that the mass in a
mass-spring-dashpot
system with
m = 20, c = 23 and k = 6 is set in motion with x(0) = 0 and
x'(0) = 3. (a) Find the position function x(t) and show that its
graph looks as indicated in the figure. (b) Find how far the
mass moves to the right before starting back toward the
origin.
(a) x(t) =
(Type an exact answer.)
0-
to
EN
2
4
96
-00
8
10
2
Transcribed Image Text:Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 23 and k = 6 is set in motion with x(0) = 0 and x'(0) = 3. (a) Find the position function x(t) and show that its graph looks as indicated in the figure. (b) Find how far the mass moves to the right before starting back toward the origin. (a) x(t) = (Type an exact answer.) 0- to EN 2 4 96 -00 8 10 2
units to the right before turning back.
(b) The mass moves
(Round to four decimal places as needed.)
Transcribed Image Text:units to the right before turning back. (b) The mass moves (Round to four decimal places as needed.)
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