Acceleration

Acceleration is the vector representing the change in velocity with respect to time. It is usually represented with a. Its SI unit is m/s².

The integral of acceleration with respect to time is velocity, and its second integral is position.

Formulas

The formula for average acceleration on a linear path is change in velocity divided by change in time, or

$a_{ave}={\frac {v_{1}-v_{0}}{t_{1}-t_{0}}}={\frac {\Delta v}{\Delta t}}$

The instantaneous acceleration is equal to the derivative of velocity with respect to time.

$a=\lim _{{\Delta t}\to 0}{\frac {\Delta v}{\Delta t}}={\frac {dv}{dt}}$