Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 2 - Kinematics in One Dimension - Exercises and Problems - Page 60: 18


The Porsche will win the race.

Work Step by Step

The formula $x = \frac{1}{2}at^2$ can be rearranged as: $t = \sqrt{\frac{2x}{a}}$ We now find the time for the Porsche to travel 400 m; $t = \sqrt{\frac{2x}{a}}$ $t = \sqrt{\frac{(2)(400~m)}{3.5~m/s^2}}$ $t = 15.1~s$ We then find the time for the Honda to travel 400 m; $t = \sqrt{\frac{2x}{a}}$ $t = \sqrt{\frac{(2)(400~m)}{3.0~m/s^2}}$ $t = 16.3~s$ Even with a 1.0 second head start for the Honda, the Porsche will win the race.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.