Calculating Distance Travel During Acceleration
In order to find the distance traveled during acceleration, we need to understand the relationship between velocity, acceleration, and distance. Let's break down the information provided:

Given Information:
- The variation of velocity of a particle moving along a straight line in a certain time interval is shown.
- The graph shows the change in velocity over time, indicating acceleration.

Understanding Acceleration:
- Acceleration is the rate at which the velocity of an object changes over time.
- It is represented by the slope of the velocity-time graph.
- The area under the acceleration-time graph represents the change in velocity.

Finding Distance Travelled:
- To calculate the distance traveled during acceleration, we need to find the area under the velocity-time graph during the acceleration phase.
- The area under the graph represents the displacement of the particle.
- By integrating the acceleration function over the given time interval, we can find the change in velocity and, consequently, the distance traveled.

Explanation:
- By analyzing the velocity-time graph, you can determine the acceleration of the particle and calculate the distance traveled during that acceleration phase.
- Remember to consider the direction of motion (positive or negative) when interpreting the results.
- Understanding the relationship between velocity, acceleration, and distance is crucial in solving problems related to particle motion along a straight line.