Constant Acceleration

Constant acceleration, abbreviated as \(a_c\), 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

(Eq. 1)  \(\large{ v =  v_i  + at  }\)

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

(Eq. 3)  \(\large{ d =  v_i t \;+\;  \frac { 1 } { 2 } a t^2  }\)

(Eq. 4)  \(\large{ d =  v_f t \;-\;  \frac { 1 } { 2 } a t^2  }\)  

(Eq. 5)  \(\large{ v^2 =  v_i^2  + 2ad  }\)       

Where:

\(\large{ d }\) = displacement

\(\large{ a }\) = acceleration

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

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

\(\large{ t }\) = time

\(\large{ v }\) = velocity