The area under a velocity-time graph gives the displacement. The velocity-time and acceleration-time graphs for common motions are shown below.

The area under the graph is the distance moved. The gradient or the steepness of the graph can be used to work out the acceleration. A steep line means high acceleration.

With this distance and time value, I can simply plug it into the kinematic equation and solve for the acceleration. This would give an acceleration of 0.1053 m/s 2 .

If the car has a constant acceleration of a ... As you can see from this plot, the distance traveled would be equivalent to the area under the velocity-time graph. OK, ...