Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Test - Page 194: 14b


$\frac{1}{8}$ seconds

Work Step by Step

To find the time when the weight first reaches maximum hieght, we need to substitute the maximum hieght (amplitude) into the formula and then solving for $t$: $s(t)=-4\cos 8\pi t$ $4=-4\cos 8\pi t$ $\frac{4}{-4}=\cos 8\pi t$ $-1=\cos 8\pi t$ $\cos^{-1} -1=8\pi t$ $\pi=8\pi t$ $8\pi t=\pi$ $t=\frac{\pi}{8\pi}=\frac{1}{8}$ seconds Therefore, the weight first reaches maximum height after $\frac{1}{8}$ seconds.
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