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 456: 10

Answer

(a) $\frac{3}{2}$, $10\pi$, $\frac{1}{10\pi}$. (b) see graph.

Work Step by Step

(a) Given $y=-\frac{3}{2}sin(0.2t+1.4)$, compare with the standard form of $y=a\cdot sin(kx+b)$, we can find the amplitude as $|a|=\frac{3}{2}$, period as $\frac{2\pi}{k}=\frac{2\pi}{0.2}=10\pi$, and frequency of the motion as the reciprocal of the period $\frac{1}{10\pi}$. (b) see graph.
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