Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.6 - Modeling Harmonic Motion - 5.6 Exercises - Page 457: 44

Answer

$y(t)=-6sin(\frac{\pi}{6}t)$

Work Step by Step

Model with equation $y=a\cdot sin(\omega t)$, based on the figure of the problem, we can find that $a=-6, \frac{2\pi}{\omega}=12, \omega=\frac{\pi}{6}$, thus the equation becomes $y(t)=-6sin(\frac{\pi}{6}t)$
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