Answer
Headed towards $-x_{m}$.
Work Step by Step
The velocity at point $A$ is negative, therefore, the particle must be moving towards $-x_{m}$.
Fundamentals of Physics Extended (10th Edition)
by Halliday, David; Resnick, Robert; Walker, Jearl
Published by
Wiley
ISBN 10:
1-11823-072-8
ISBN 13:
978-1-11823-072-5
Chapter 15 - Oscillations - Questions - Page 434: 2a
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