How to find average acceleration from velocity time graph

The average acceleration is the slope of the graph found as

Explanation:

Here we have

The formula for acceleration is derived as follows

v₁ = v₂ + at which is similar to the equation, y = mx + c, such that the acceleration, a, is the slope and u is the y intercept

average acceleration, a = (v₁-v₂)/(time for the change)

or

So to find the average acceleration, you take two points on the line graph with y coordinates v₁ and v₂ and their corresponding x coordinates t₁ and t₂and plug in the values into the following equation

.

Explanation:

The average acceleration over a certain time interval tells us by how much the velocity changes per time unit over that interval.

The slope or rise over run of a velocity-time graph tells us about the average acceleration.