Question

How to find instantaneous acceleration on a velocity time graph?

Answer 1

For a straight curve on a V-t graph, it doesn't matter which point you pick or if you pick an interval because the acceleration is constant for all points on that interval. Remember, the acceleration is the derivative of velocity with respect to time, so if you have a linear relationship between velocity and time, you'll have a constant acceleration.

Answer 2

`\large \boxed{\mathrm{slope \ of \ the \ graph}}`

Step-by-step explanation:

`\displaystyle acceleration = (change \ in \ velocity )/(elapsed \ time)`

`\displaystyle acceleration = (\Delta V )/(\Delta t)`

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.