The slope of velocity-time graph for uniform motion of an object is

Options

A. Unity
B. Zero
C. Infinite
D. More than unity but has some finite value

Answer

To solve the question regarding the slope of the velocity-time graph for uniform motion of an object, follow these steps:

### Step-by-Step Solution:

1. **Understanding Uniform Motion**:
- Uniform motion implies that the object is moving with a constant velocity. This means that the velocity does not change over time.

2. **Velocity-Time Graph**:
- In a velocity-time graph, the x-axis represents time, and the y-axis represents velocity. For uniform motion, the graph will be a straight horizontal line.

3. **Analyzing the Graph**:
- Since the velocity is constant, the graph will not rise or fall; it will remain flat. This indicates that there is no change in velocity as time progresses.

4. **Calculating the Slope**:
- The slope of a line on a graph is calculated as the change in the y-axis (velocity) divided by the change in the x-axis (time).
- Mathematically, slope = (change in velocity) / (change in time).

5. **Applying to Uniform Motion**:
- For uniform motion, since the velocity does not change, the change in velocity is zero. Therefore, the slope can be calculated as:
\[ \text{slope} = \frac{0}{\text{change in time}} = 0 \]

6. **Conclusion**:
- The slope of the velocity-time graph for uniform motion is zero. This indicates that there is no acceleration, and the object maintains a constant velocity.

### Final Answer:
The slope of the velocity-time graph for uniform motion of an object is **zero**.