Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 2 - Section 2.7 - Derivatives and Rates of Change - 2.7 Exercises - Page 149: 16

Answer

(a) A runs the races at a constant speed from start to finish. B starts slowly but continually accelerates during the race. (b) $t = 9~s$ (c) $t = 9~s$

Work Step by Step

(a) A runs the races at a constant speed from start to finish. B starts slowly but continually accelerates during the race. (b) By using the values on the vertical axis, we can see that the greatest distance between the runners occurs at approximately $t = 9~s$ (c) The two runners have the same velocity when the slope of the displacement versus time graph is the same. This occurs at approximately $t = 9~s$
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