Which of the following velocity-time graphs represent uniform motion

Options

A.
B.
C.
D.

Answer

To determine which velocity-time graph represents uniform motion, we need to understand the characteristics of uniform motion and how they are represented in a velocity-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 speed and direction of the object do not change over time.
- Mathematically, this can be expressed as acceleration being zero (a = 0). Since acceleration is the rate of change of velocity, if acceleration is zero, the velocity must remain constant.

2. **Characteristics of the Velocity-Time Graph**:
- In a velocity-time graph, the x-axis represents time (t) and the y-axis represents velocity (v).
- If the motion is uniform, the graph will show a straight horizontal line. This indicates that the velocity is constant over time.

3. **Analyzing the Graphs**:
- Look at the provided options for velocity-time graphs.
- Identify which graph shows a straight horizontal line (parallel to the time axis).
- Any graph that shows a slope (either upward or downward) indicates a change in velocity, which means the object is accelerating or decelerating, thus representing non-uniform motion.

4. **Conclusion**:
- The graph that is a straight horizontal line represents uniform motion.
- Therefore, the correct answer is the graph that is parallel to the time axis.

### Final Answer:
The correct option representing uniform motion is **Option 1**, which is a straight horizontal line in the velocity-time graph.