Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 14 - Calculus of Vector-Valued Functions - 14.5 Motion in 3-Space - Preliminary Questions - Page 744: 7


(b) is true.

Work Step by Step

The tangential and normal components for both cars are given by $$a_T=v'(t), \quad a_N=\kappa v(t)^2$$ Since they are moving on a circular track, then the curvature is constant. Now, when their speeds read 110 mph, then their acceleration have the same normal components. That is, (b) is true.
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