A pulse is moving toward the end of a spring with a speed of 80 cm/s. It is not known whether the end is a fixed end or a free end. The diagrams below show the shape of the pulse at t = 0 s and at t = 1 s. Is the end of the spring a free end or a fixed end? Explain. If there is not enough information, state so explicitly. Write your explanation on paper and support your explanation with a clear diagram.

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A pulse is moving toward the end of a spring with a speed of 80 cm/s. It is not known whether
the end is a fixed end or a free end.
The diagrams below show the shape of the pulse at t = 0 s and at t = 1 s.
Is the end of the spring a free end or a fixed end? Explain. If there is not enough information,
state so explicitly.
Write your explanation on paper and support your explanation with a clear diagram. 

The image consists of two line graphs illustrating the displacement of a rod over time. Each graph is set against a grid where one square corresponds to 10 cm. The vertical axis represents displacement, ranging from -4 to 4 units, and the horizontal axis is marked with unit intervals.

1. **Graph at \( t = 0s \):**

   - The line starts at the origin (0, 0) and progresses horizontally up to the 2-unit mark.
   - It then steps up to 1 unit at the 2-unit mark on the x-axis and maintains this level up to 4 units.
   - There is a rise to 3 units between 4 and 5 units on the x-axis, followed by a drop to 2 units between 6 and 8 units on the x-axis.
   - The line continues to -3 units between 8 and 10 on the x-axis.
   - The line ends at 0 units from 10 to 14 on the x-axis.

2. **Graph at \( t = 1s \):**

   - The line remains at 0 units until it steps up to 1 unit at the 10-unit mark on the x-axis.
   - This continues until just past the 12-unit mark on the x-axis before dropping back to 0 at 14 units.

**Annotations:**

- "Rod" with an arrow pointing towards the vertical edge of the graphs suggests the context involves wave or vibration propagation.
- A note states "Fixed or free end?" questioning the type of boundary condition at the right end of the rod.
Transcribed Image Text:The image consists of two line graphs illustrating the displacement of a rod over time. Each graph is set against a grid where one square corresponds to 10 cm. The vertical axis represents displacement, ranging from -4 to 4 units, and the horizontal axis is marked with unit intervals. 1. **Graph at \( t = 0s \):** - The line starts at the origin (0, 0) and progresses horizontally up to the 2-unit mark. - It then steps up to 1 unit at the 2-unit mark on the x-axis and maintains this level up to 4 units. - There is a rise to 3 units between 4 and 5 units on the x-axis, followed by a drop to 2 units between 6 and 8 units on the x-axis. - The line continues to -3 units between 8 and 10 on the x-axis. - The line ends at 0 units from 10 to 14 on the x-axis. 2. **Graph at \( t = 1s \):** - The line remains at 0 units until it steps up to 1 unit at the 10-unit mark on the x-axis. - This continues until just past the 12-unit mark on the x-axis before dropping back to 0 at 14 units. **Annotations:** - "Rod" with an arrow pointing towards the vertical edge of the graphs suggests the context involves wave or vibration propagation. - A note states "Fixed or free end?" questioning the type of boundary condition at the right end of the rod.
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