Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 12 - Vector-Valued Functions - 12.5 Exercises - Page 862: 88

Answer

TRUE.

Work Step by Step

When making a turn in a car or on a motorcycle, the centripetal acceleration needed to stay on the road (Normal component of acceleration) is a function of 1. the speed of the vehicle and 2. the sharpness of the curve. So again we see that the Normal component of acceleration is a function of both speed and curvature. Mathematically: $$ a_n = v^2/r$$
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