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 - 14.3 Arc Length and Speed - Preliminary Questions - Page 725: 2

Answer

(b) is true

Work Step by Step

The velocity vectors at a given point on a roller coaster will have the same direction since the track is fixed. The velocity vectors may have different lengths since the speed of each car may vary. (a) is incorrect since the magnitudes of the velocity vectors may vary since the speed of each car may vary. (c) is incorrect since the velocity vector at a given point will always have the same direction since the track is fixed.
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