Question

An object starts with initial velocity u and attains a final velocity v. The velocity of the object is changing at an uniform rate. What is the formula for writing the Average velocity?

Answer 1

Average velocity= initial velocity+final velocity/time taken
V/Av=U+v/2

Answer 2

Given that, the rate of change of velocity is uniform, thus acceleration is uniform.
By definition, uniform acceleration is defined as if the body changes equal velocities in equal intervals of time then the acceleration is known as uniform acceleration.
Now the time period is the same for the velocity of the particle to become u (from zero, before the measuring of time) and for the velocity to change from u to v.
Since average velocity when a particle travels distances in equal intervals of time is given by:
(u+v)/2=average velocity