Answer
$y=50cos(16\pi t)$
Work Step by Step
Given $f=8, a=50$, since P is at its maximum displacement when t =0,
we should use a $cos$ function as $y=a\cdot cos(\omega t)$ with $\omega=2\pi f=16\pi$
the equation becomes $y=50cos(16\pi t)$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 5 - Review - Exercises - Page 464: 72
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