Short Answer 
The displacement of a wave on a string at x = 5.0 m remains consistently at 0 cm over 6 seconds, indicating no net movement of the string despite wave interactions. This consistency suggests the waves may be in phase and canceling out or their amplitude is too low to produce noticeable displacement.
Step 1: Understand the Concept of Displacement
The displacement of a wave on a string represents how far the string is moved from its original position. In this scenario, we are looking at the displacement values of the string at a specific location, which is x = 5.0 m, at intervals of 1 second over a duration of 6 seconds. Displacement can be influenced by the interaction of two waves traveling towards each other.
Step 2: Analyzing the Given Data Points
The values of the string’s displacement at x = 5.0 m are recorded at 1-second intervals starting from t = 0 seconds to t = 6 seconds. These values are:
- At t = 0s, Y = 0 cm
- At t = 1s, Y = 0 cm
- At t = 2s, Y = 0 cm
- At t = 3s, Y = 0 cm
- At t = 4s, Y = 0 cm
- At t = 5s, Y = 0 cm
- At t = 6s, Y = 0 cm
Every measurement indicates that the displacement remains consistently at 0 cm throughout the time intervals.
Step 3: Interpreting the Results
The consistent displacement of 0 cm at all measured intervals implies that there is no net movement of the string at that specific point despite the interaction of the waves. This can suggest various possibilities, such as the waves being in phase and canceling each other out at x = 5.0 m or that the amplitude of the waves is too low to register any displacement within the given time frame.