LIST OF KINEMATIC EQUATIONS FOR CONSTANT ACCELERATION
Kinematic equations for constant acceleration are composed of four equations relating position, velocity, acceleration, and time, when the acceleration a is constant. Kinematic equations are not valid unless acceleration (a) is a constant. The four kinematic equations are listed below.
x=x0+v0t+1/2at2 (x related to a and t)
x= x0 + 1/2(v+v0)t (x related to v and t)
v=v0+at (v related to a and t)
v2=v02+2a(x-x0) (v related to a and x)
In many cases initial position (x0) is set to 0 to simplfy the equations. These equations are used to calculate the parameters of an object’s motion.
List of parameters used In equations are:
|x||Position at time t|
|v||Velocity at time t|
Kinematic Equation Example
A car starts from standstill and accelerates at a constant acceleration of 5 m/s2 during 600 m distance. How fast is the car going at the end of 600 m?
v2=0 +2(5 m/s2)(600 m) =6000 m2/s2
v = (6000 m2/s2 )0.5 = 77.5 m/s
- Giancoli, Douglas C. Physics: Principles with Applications (7th Edition) – Standalone book. Pearson, 2016.