Constant Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Constant acceleration ( \(a_c\) ) of an object is the constant rate in a straight line at which the velocity changes with respect to time.  These formulas can not be used if acceleration is not constant.

Constant Acceleration Formula

\(\large{ d =  \frac { 1 } { 2 }   \left( v_f  \;+ \; v_i \right)  t  }\)         

\(\large{ d =  v_i t \;+\;  \frac { 1 } { 2 } \bar {a} t^2  }\)         

\(\large{ d =  v_f t \;-\;  \frac { 1 } { 2 } \bar {a} t^2  }\)         

Where:

\(\large{ a_c }\) = constant acceleration

\(\large{ d }\) = displacement

\(\large{ \bar {a} }\) = average acceleration

\(\large{ v_f }\) = final velocity

\(\large{ v_i }\) = initial velocity

\(\large{ t }\) = time

 

Tags: Equations for Acceleration