Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 2 - Motion Along a Straight Line - Problems - Page 33: 10a

Answer

The equation for car speed without the wind effects is: $v_{car} = \frac{1}{2}(\frac{d}{t1} + \frac{d}{t2})$

Work Step by Step

To eliminate the wind effects, consider the wind blowing alongside the car during the time $t1$ and blowing opposite during $t2$ with the same distance $d$, we have: $d/t1 = v_{car}+v_{wind}$ $d/t2 = v_{car}-v_{wind}$ By adding the two equations and dividing by 2, we obtain: $v_{car} = \frac{1}{2}(\frac{d}{t1} + \frac{d}{t2})$ Thus, we find the car speed without the wind effects.
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