Velocity-Time Graph

A velocity-time graph represents the relationship between the velocity of a moving object and the time elapsed. The graph provides valuable information about the object's motion, including its speed, direction, and acceleration.

Interpreting the Graph

To understand the acceleration of the particle from the given velocity-time graph, we need to analyze the different sections of the graph.

1. Section AB:
In this section, the graph shows a straight line with a positive gradient, indicating a constant positive velocity. Since the gradient represents the rate of change of velocity, which is the definition of acceleration, the particle has a constant positive acceleration in this section.

2. Section BC:
In this section, the graph shows a horizontal line parallel to the time axis, indicating zero velocity. As the velocity remains constant, the acceleration is also zero. The particle is at rest during this section.

3. Section CD:
In this section, the graph shows a straight line with a negative gradient, indicating a constant negative velocity. Since the gradient represents the rate of change of velocity, which is the definition of acceleration, the particle has a constant negative acceleration in this section.

4. Section DE:
In this section, the graph shows a horizontal line parallel to the time axis, indicating zero velocity. As the velocity remains constant, the acceleration is also zero. The particle is at rest during this section.

Acceleration of the Particle

The acceleration of the particle can be determined by calculating the gradient of the velocity-time graph. The gradient represents the rate of change of velocity with respect to time.

- In section AB, the positive gradient indicates a constant positive acceleration.
- In section BC and DE, the horizontal line indicates zero velocity and zero acceleration.
- In section CD, the negative gradient indicates a constant negative acceleration.

Therefore, the acceleration of the particle can be described as follows:
- Positive acceleration in section AB.
- Zero acceleration in sections BC and DE.
- Negative acceleration in section CD.

Conclusion

By analyzing the velocity-time graph, we can determine the acceleration of the particle at different sections. The graph provides valuable information about the object's motion, allowing us to understand its speed, direction, and acceleration.