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: 1

Answer

The acceleration vector will not necessarily be zero.

Work Step by Step

If a particle travels with constant speed $v(t)$, then its acceleration vector will not necessarily be zero. We know that $ vā€²(t) = 0$, so the tangential component of acceleration will be zero. However, the normal component of acceleration, which measures the change in direction, will not necessarily be zero.
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