Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 1 - Concepts of Motion - Exercises and Problems - Page 31: 40

Answer

See the graph below.

Work Step by Step

The author here asks not to solve the problem or do any math, he just needs the drawing. We just need to sketch the problem. And here we go... Noting that "steady declaration" means the speed of the motorist decreases at a constant rate which means at a constant acceleration. Also, note that $d$ is the distance traveled during the reaction time $\Delta t=0.5\;\rm s$ while $\Delta x$ is the distance traveled from the start of braking to the complete stop at the stoplight.
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