Average Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Average acceleration 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 

Tags: Equations for Acceleration