College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 13 - Vibrations and Waves - Learning Path Questions and Exercises - Conceptual Questions - Page 483: 9

Answer

For sine function, the initial position is Zero as $sin 0 =0 $. The initial velocity is maximum as $cos 0 =1 $. The acceleration is zero because it is proportional to $sin\omega t$, which is zero. For cos function, things are reversed. The initial position and acceleration are at their maximum, but initial velocity is zero.

Work Step by Step

For sine function, the initial position is Zero as $sin 0 =0 $. The initial velocity is maximum as $cos 0 =1 $. The acceleration is zero because it is proportional to $sin\omega t$, which is zero. For cos function, things are reversed. The initial position and acceleration are at their maximum, but initial velocity is zero.
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