College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 12 - Problems - Page 466: 65

Answer

Rob is 9.81 meters below the boat.

Work Step by Step

We can find the time it takes the sound to travel 5.00 meters through the air: $t = \frac{d}{v} = \frac{5.00~m}{343~m/s} = 0.0146~s$ Since the total time is $0.0210~s$, the time that the sound traveled in the water is $0.0210~s-0.0146~s$ which is $0.0064~s$. We can find the distance that the sound wave traveled in the water: $d = v~t = (1533~m/s)(0.0064~s) = 9.81~m$ Rob is 9.81 meters below the boat.
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