Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 5 - Section 5.1 - Areas and Distances - 5.1 Exercises - Page 376: 17

Answer

The car traveled a distance of approximately 150 feet.

Work Step by Step

The area under a velocity versus time graph is equal to the displacement. We can count the boxes under the graph to estimate the distance traveled by the car. Note that the area of each box represents $~~(20~ft/s)\times (1.0~s) = 20~feet$ There are approximately 7.5 squares under the velocity versus time graph: $distance \approx (7.5)(20~feet) = 150~feet$ The car traveled a distance of approximately 150 feet.
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