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: 14a



Work Step by Step

The maximum height that the weight rises above the equilibrium position of $s(t)=0$ is the amplitude of the function. Therefore, we need to find the value of the amplitude. To do this, we first write the equation in the form $y=c+a \cos [b(x-d)]$. Therefore, $y=-4\cos 8\pi t$ becomes $y=0-4\cos [8\pi(t-0)]$. Comparing the two equations, $a=-4$. The amplitude is $|a|=|-4|=4$ inches.
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