# How To Find The Acceleration From a Velocity Time Graph - Physics | Summary and Q&A

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September 3, 2023
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The Organic Chemistry Tutor
How To Find The Acceleration From a Velocity Time Graph - Physics

## TL;DR

The video explains how to find the acceleration of a particle using a velocity-time graph, including calculating average and instantaneous acceleration.

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### Q: How does the behavior of the velocity-time graph relate to acceleration?

When the velocity is increasing, the acceleration is positive. When the velocity is constant, the acceleration is zero. When the velocity is decreasing, the acceleration is negative.

### Q: How can the average acceleration of a particle be calculated on a velocity-time graph?

The average acceleration can be calculated by finding the change in velocity divided by the change in time between two points on the graph.

### Q: How can the instantaneous acceleration of a particle be approximated on a velocity-time graph?

In the absence of a velocity function, the instantaneous acceleration can be approximated by finding the slope of the secant line between two points on the graph.

### Q: How can the acceleration be determined at a specific point on a curved segment of the velocity-time graph?

The slope of the tangent line at the point can be used to find the instantaneous acceleration, but in the absence of the velocity function, the slope of the secant line can be used to approximate it.

## Summary & Key Takeaways

• Velocity-time graphs provide information about acceleration based on the behavior of the graph. Increasing velocity indicates positive acceleration, constant velocity indicates zero acceleration, and decreasing velocity indicates negative acceleration.

• The average acceleration of a particle can be determined by calculating the slope of the graph between two points. The instantaneous acceleration can be approximated by the slope of the tangent line at a specific point.

• For straight line segments on the graph, the acceleration can be calculated using the change in velocity divided by the change in time. For curved segments, the slope of the secant line can be used to approximate the instantaneous acceleration.