Answer
The sign in front of $\omega$ is plus.
Work Step by Step
It is given in the question that the wave is moving along a string in the negative direction of an x axis.
Therefore, the sign in front of $\omega$ is plus.
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 16 - Waves-I - Problems - Page 473: 15d
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