The velocity-time graph of a body in motion is a straight line inclined to the time axis. The correct statement is :

Options

A. velocity is uniform
B. acceleration is uniform
C. both velocity and acceleration are uniform
D. neither velocity nor acceleration is uniform.

Explanation

To solve the question regarding the velocity-time graph of a body in motion that is a straight line inclined to the time axis, we can analyze the implications of such a graph step by step.

### Step-by-Step Solution:

1. **Understanding the Graph**:
- A velocity-time graph plots velocity (v) on the y-axis and time (t) on the x-axis. A straight line inclined to the time axis indicates a consistent change in velocity over time.

**Hint**: Remember that the slope of a velocity-time graph represents acceleration.

2. **Identifying Slope**:
- The slope of the line in the velocity-time graph is constant. This means that the change in velocity (Δv) over the change in time (Δt) is constant. Mathematically, this is expressed as:
\[ \text{slope} = \frac{\Delta v}{\Delta t} = \text{acceleration (a)} \]

**Hint**: If the slope is constant, the acceleration is uniform.

3. **Analyzing Velocity**:
- Since the graph is a straight line, the velocity is not constant; it is changing over time. Therefore, the body is experiencing a change in velocity, meaning the velocity is not uniform.

**Hint**: A straight line indicates that the velocity is increasing or decreasing, not remaining constant.

4. **Conclusion on Acceleration**:
- Since the slope is constant, we conclude that the acceleration is uniform. Therefore, we can state that the acceleration of the body is constant.

**Hint**: Uniform acceleration means that the rate of change of velocity is the same throughout the time interval.

5. **Evaluating the Statements**:
- Based on our analysis:
- Option A: Incorrect, as velocity is not uniform.
- Option B: Correct, as acceleration is uniform.
- Option C: Incorrect, as velocity is not uniform.
- Option D: Incorrect, as it states neither velocity nor acceleration is uniform.

**Hint**: Always check each statement against your findings from the graph.

### Final Answer:
The correct statement is **B: The acceleration is uniform**.