158. Harmonic Motion The displacement from equilibriumof an object in harmonic motion on the end of a spring isy =13cos 12t −14sin 12twhere y is measured in feet and t is the time in seconds.Determine the position and velocity of the object whent = 8.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.2: Trigonometric Functions Of Real Numbers
Problem 79E
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158. Harmonic Motion The displacement from equilibrium
of an object in harmonic motion on the end of a spring is
y =
1
3
cos 12t −
1
4
sin 12t
where y is measured in feet and t is the time in seconds.
Determine the position and velocity of the object when
t = 8.

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