What does the slope of the velocity-time graph give?a. speedb. velocityc. accelerationd. displacement

Understanding the Slope in a Velocity-Time Graph

The slope of a velocity-time graph represents the change in velocity over time. This gives us information about the acceleration of the object.

1. Slope Definition: The slope of a graph is defined as the change in the y-coordinate divided by the change in the x-coordinate.

2. Velocity-Time Graph: In a velocity-time graph, the y-axis represents velocity and the x-axis represents time.

3. Change in Velocity: The slope can be expressed mathematically as: $\text{slope} = \frac{\Delta v}{\Delta t}$ where $\Delta v$ is the change in velocity and $\Delta t$ is the change in time.

4. Acceleration: Since acceleration is defined as the rate of change of velocity with respect to time, the slope of the velocity-time graph directly represents acceleration.

Final Answer

Thus, the correct answer is c. acceleration.