By , 4 months ago

Since the speed is constant, clearly the change in the magnitude of velocity is constant.

Now, consider two instants - the instant when the particle has the coordinate (0, a) and the instant when it has the coordinate (a, 0).

The particle completes one fourth of a revolution as it moves from (0, a) to (a, 0). Here a is the radius of the circle.






If the x axis is horizontal and the y axis is vertical, then in the first case, the velocity is vi and in the second case, the velocity is -vj.


The difference in velocities is -vj - vi.

You can similarly calculate the difference in velocities between any other points by finding the difference between the velocity vectors at those points.