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 in physics.

### 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.

2. **Identify Key Characteristics**:
- In uniform motion, the acceleration is zero. This implies that there is no change in velocity.

3. **Relate Acceleration to the Velocity-Time Graph**:
- The slope of a velocity-time (VT) graph represents acceleration. If the slope is zero, it indicates that the velocity is constant (i.e., uniform motion).

4. **Examine the Graphs**:
- Look for a graph where the line is horizontal. A horizontal line on a VT graph means that the velocity remains constant over time, which corresponds to zero acceleration.

5. **Conclusion**:
- Among the given options, the graph that is a horizontal line (parallel to the time axis) represents uniform motion. Therefore, the correct answer is option A.