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. t_{1} = 0. You can then assume t_{2} = t to be the elapsed time. The initial position (x_{1}) and initial velocity (v_{1}) of an object are now be represented by x_{0} and v_{0} and at time t they are called x and v.

The average velocity during the time t is:

**v = (x - x _{0})/t**