# Acceleration

Acceleration, abbreviated as a, is the rate of change of velocity. Whenever a mass experiences a force, an acceleration is acting. Acceleration is a vector quantity having magnitude and direction, some of these include displacement, drag, force, lift, momentum, thrust, torque, velocity and weight.

## Average Acceleration

The average acceleration is different than the instantaneous acceleration. Average acceleration is the rate of change of velocity over a given amount of time. Whereas, instantaneous accleration is the change of velocity at a specific point in time.

\(\large{ a = \frac{ \Delta v }{ t } }\) \(\large{ a = \frac{ v_f \;-\; v_i }{ t } }\) \(\large{ a = \frac{ v_f \;-\; v_i }{ t_f \;-\; t_i } }\) Where: \(\large{ a }\) = acceleration \(\large{ t }\) = time \(\large{ v }\) = velocity \(\large{ \Delta v }\) = velocity differential \(\large{ t_f }\) = final time \(\large{ t_i }\) = initial time \(\large{ v_f }\) = final velocity \(\large{ v_i }\) = initial velocity Solve for: \(\large{ v = v_i + a \; t }\) \(\large{ v_i = v - a \; t }\) |