When a particle moves with constant velocity, its average velocity, its instantaneous velocity and its speed are all equal. Comment on this statement.

Question

Philoid · Accepted Answer

Let us consider the position-time graph of a particle moving with a constant velocity as shown below.

From the graph, the average velocity is given by

From the graph, the instantaneous velocity is given by

Speed is given by

Therefore, the average velocity, instantaneous velocity and the speed of the particle moving with a constant velocity are equal as expressed by equation (1),(2) and (3).