Question

We are stuck on this problem: You are given f(x), a transverse wave that moves on a string that ends and is fixed in place at x=5m. As the problem begins, the wave is moving to the right at v=1m/s. Consider the image of the wave reflected about the fixed point x=5m in the following diagram. The image will be moving to the left at v=-1m/s (in the opposite direction from the real wave). What is the shape of the wave on the string after 3s?

Answer 1

Take into account that each point of the wave image is translated 3 units to the left (which means that each second each point of the wave moves 1 unit to the left).

Then, based on the previous explanation you obtain the following graph:

As you can notice, each point of the wave image has been translated 3 units to the left and the resultant part of the wave to the left of the fixed point is the reflection of the wave at the right.