For describing the motion of an object, you use physical quantities like distance, velocity and acceleration. In the case of constant acceleration, the velocity acquired and the distance traveled in a given time can be calculated by using one or more of three equations. These equations, generally known as equations of motion for constant acceleration or kinematics equations, are easy to use and find many applications.

Equation of Uniform Motion

In order to derive these equations, take initial time to be zero i.e. t1 = 0. You can then assume t2 = t to be the elapsed time. The initial position (x1) and initial velocity (v1) of an object are now be represented by x0 and v0 and at time t they are called x and v.

The average velocity during the time t is:

v = (x - x0)/t