University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 3 - Motion in Two or Three Dimensions - Problems - Exercises - Page 95: 3.32

Answer

The walker takes 0.75 hour and the rower takes 1.47 hours.

Work Step by Step

The walker travels 3.0 km at a steady speed of 4.0 km/h. The time is $\frac{3km}{4km/hr}= \frac{3}{4} hour$. We calculate the rower’s speed relative to the shore for each segment of the round trip. With the current, the boat moves at 6.80 km/h, and against the current, the boat moves at 1.2 km/h relative to the shore. The rower takes a time of $\frac{1.5km}{6.80km/hr}+\frac{1.5km}{1.2km/hr}=1.47h$
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