question_answer

Show that the average velocity of an object over an interval of time is either smaller than or equal to the average speed of the object over the same interval.

Answer:

                We know that \[\text{Average velocity=}\frac{\text{Displacement}}{\text{Time interval}}\] \[\text{Average speed =}\frac{\text{Total Path length}}{\text{Time interval}}\] As the magnitude of the displacement of an object can be equal to or less than the total length of the path traversed by the body in given time, so average velocity of an object over an interval of time is either equal to or smaller than the average speed of the object over the same interval.