University Physics with Modern Physics (14th Edition)

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

Chapter 2 - Motion Along a Straight Line - Problems - Discussion Questions: Q2.20

Answer

The average velocity is less than 4.00 m/s because the runner spends more time running at a slower velocity.

Work Step by Step

The average velocity is less than 4.00 m/s because the runner spends more time running at a slower velocity. We can check this by calculating the average velocity. $t_1 = \frac{120.0 ~m}{3.00 ~m/s} = 40.0~s$ $t_2 = \frac{120.0 ~m}{5.00 ~m/s} = 24.0~s$ The total time is 64.0 seconds and the total displacement is 240.0 meters. $v_{ave} = \frac{240.0 ~m}{64.0 ~s} = 3.75 ~m/s$
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