# Average Acceleration

Average acceleration, abbreviated as \( \bar {a} \), is the change of velocity over an elapsed amount of time. As an example, if a vehicle is initially traveling at 100 feet per second and slows down to 50 feet per second over 60 seconds, the average acceleration over 60 seconds is - 8.3 ft per second. The equation and calulation for average acceleration is shown below.

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