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:

x0 Initial position
x Position at time t
x-x0 Displacement
v0 Initial velocity
v Velocity at time t
a Acceleration
t Elapsed time.

 

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?

List of Kinematic Equations Example

Solution: 

v2=v02+2a(x-x0)

v2=0 +2(5 m/s2)(600 m) =6000 m2/s2

v = (6000 m2/s2 )0.5  = 77.5 m/s

Additional Resources

 

Reference