Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 3 - Kinematics in Two Dimensions; Vectors - Questions - Page 67: 4

Answer

The displacement cannot be longer than the distance, though it can be less.

Work Step by Step

The displacement vector is the straight line that connects the start point and the end point. It is the shortest distance between those two points. So, the displacement vector can never be longer than the length of path traveled (i.e, the distance). If the particle took a straight line between the 2 points, the length of the displacement vector is exactly the distance traveled. If the particle takes a path that isn’t straight, then the length of the displacement vector is less than the distance traveled.
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