Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 7 - Applications of Trigonometric Functions - Section 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves - 7.5 Assess Your Understanding - Page 574: 14

Answer

(a) simple harmonic, (b) $4\ m$, (c) $\pi\ sec$, (d) $\frac{1}{\pi}\ Hz$.

Work Step by Step

(a) Given $d=4sin(2t)$, we can describe the motion of the object as simple harmonic, (b) The maximum displacement from its resting position can be found as $4\ m$, (c) We can find the period as $p=\frac{2\pi}{2}=\pi\ sec$, (d) The frequency is the reciprocal of the period $f=\frac{1}{p}=\frac{1}{\pi}\ Hz$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.