Chemistry 12th Edition

Published by McGraw-Hill Education
ISBN 10: 0078021510
ISBN 13: 978-0-07802-151-0

Chapter 6 - Thermochemistry - Questions & Problems: 6.117

Answer

Please see the work below.

Work Step by Step

Let us assume that on stopping the car, its K.E is converted to frictional heat that is $q=\frac{1}{2}mv^2$ We know that the amount of generated is directly proportional to braking distance. Mathematically, we can express it as $d \space \alpha \space q$ and $d \space \alpha \space v^2$ That's why , when v increases to 2v, d becomes four times.
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