Acceleration

An acceleration causes a change to velocity. If we use Calculus, we can define acceleration as the differential of velocity divided by the differential of time.

a=\dfrac{dv}{dt}

This is a Differential Equation. We can integrate it to get something interesting. To get what we want from the integration, we want something like dv or dt on each side of the equation.

a dt = dv

\int a dt=\int dv

a \int dt = \int dv

An acceleration has a direction, and thus it is a vector.

A slow down is a negative acceleration.

On the surface of Earth gravity provides an acceleration of 9.8 meters per second squared downwards.