Which of the following graph represents uniform motion

Options

A.
B.
C.
D.

Answer

To determine which graph represents uniform motion, we need to understand what uniform motion means in terms of a position-time graph.

### Step-by-Step Solution:

1. **Understand Uniform Motion**:
- Uniform motion occurs when an object moves with a constant velocity. This means that the position of the object changes at a constant rate over time.

2. **Identify the Characteristics of the Graph**:
- In a position-time (s-t) graph, the slope of the graph represents the velocity of the object.
- If the slope is constant, the velocity is constant, indicating uniform motion.

3. **Analyze Each Option**:
- **Option A**: If the graph is a straight line, the slope is constant. This indicates uniform motion.
- **Option B**: If the graph is curved, the slope is changing. This indicates non-uniform motion.
- **Option C**: If the graph shows a line that changes direction (e.g., slopes downwards and then upwards), the slope is not constant. This indicates non-uniform motion.
- **Option D**: If the graph is a horizontal line, the slope is zero, indicating that the object is at rest (not moving). This is not uniform motion in the sense of moving at a constant speed.

4. **Conclusion**:
- The only graph that represents uniform motion is **Option A**, where the graph is a straight line, indicating a constant slope (constant velocity).

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