Acceleration

Acceleration is the rate of change of velocity.

Average acceleration:   aav =
Dv
Dt
=
vf - vi
tf - ti
Instantaneous acceleration: a =
dv
dt

If the acceleration is constant the instantaneous acceleration is equal to the average acceleration.

The instantaneous acceleration is the slope of the line on a velocity-versus-time graph.

The change in velocity Dv is the area under the curve of the acceleration-versus-time graph.