**Slope of Velocity-Time graph**

The slope of a velocity-time graph represents the rate of change of velocity over a specific time interval. It provides information about how fast an object's velocity is changing at a particular moment.

To calculate the slope of a velocity-time graph, we need to determine the change in velocity divided by the change in time. The slope is essentially the ratio of the vertical change (change in velocity) to the horizontal change (change in time) between two points on the graph.

Velocity-Time graph shows how an object's velocity changes over time. The vertical axis represents velocity, while the horizontal axis represents time. The slope of the graph can be positive, negative, or zero, depending on the behavior of the object.

**Positive Slope**
- If the velocity-time graph has a positive slope, it means the object is moving with a positive acceleration. This indicates that the object is speeding up.
- The steeper the positive slope, the greater the acceleration of the object. This indicates that the object is increasing its velocity at a faster rate.
- For example, if a car starts from rest and gradually increases its speed, the velocity-time graph will have a positive slope.

**Negative Slope**
- If the velocity-time graph has a negative slope, it means the object is moving with a negative acceleration or deceleration. This indicates that the object is slowing down.
- The steeper the negative slope, the greater the deceleration of the object. This indicates that the object is decreasing its velocity at a faster rate.
- For example, if a car is moving forward and then applies the brakes, the velocity-time graph will have a negative slope.

**Zero Slope**
- If the velocity-time graph has a slope of zero, it means the object's velocity is constant, and there is no acceleration.
- This indicates that the object is moving at a constant speed without changing its velocity.
- For example, if a car maintains a constant speed of 60 km/h, the velocity-time graph will have a horizontal line with a slope of zero.

In conclusion, the slope of a velocity-time graph provides valuable information about an object's acceleration or deceleration. It helps us understand how an object's velocity changes over time and whether it is speeding up, slowing down, or maintaining a constant speed.