Which of the following graph represents uniform motion

Options

A.
B.
C.
D. None of these

Explanation

To determine which graph represents uniform motion, we need to understand the concept of uniform motion and how it is represented on a displacement-time graph.

### Step-by-Step Solution:

1. **Understand Uniform Motion**:
- Uniform motion occurs when an object travels equal distances in equal intervals of time, meaning its velocity remains constant throughout the motion.

2. **Identify the Graph Type**:
- We are dealing with displacement-time graphs. The slope of a displacement-time graph represents the velocity of the object.

3. **Analyze the Slope**:
- For uniform motion, the slope of the displacement-time graph must be constant. This means that the line representing the motion should be straight (not curved) and should not change its steepness.

4. **Evaluate Each Option**:
- **Option A**: The slope is constant throughout the graph. This indicates that the velocity is constant, which is characteristic of uniform motion.
- **Option B**: The slope varies at different points on the graph. This indicates that the velocity is changing, which means it does not represent uniform motion.
- **Option C**: Similar to option B, the slope varies, indicating a change in velocity and thus not representing uniform motion.

5. **Conclusion**:
- Since only Option A has a constant slope, it is the only graph that represents uniform motion.

### Final Answer:
The graph that represents uniform motion is **Option A**.

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