Wave ?: At what time will the string have the same appearance that it did at 0s?

[aaa10196]

Wave ?: At what time will the string have the same appearance that it did at 0s?

Homework Statement

At t=0s a small "upward" (positive ) pulse centered at x= 6.0m is moving to the right on a string with fixed ends at x=0m and x= 15.0m . The wave speed on the string is 4.5 m/s.
At what time will the string next have the same appearance that it did at t=0s?

Homework Equations

The Attempt at a Solution

4.5/15= .03s

 

[Jhero]

The string will have the same appearance at 0.03 seconds. This is because the wave speed is 4.5 m/s, meaning that the wave will travel 4.5 meters in one second. Since the pulse is initially located at x=6.0m and the string has a length of 15.0m, it will take 4.5/15 = 0.03 seconds for the pulse to reach the end of the string and return to its initial position. At this time, the string will have the same appearance as it did at t=0s.