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

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

Assertion: The average velocity of the object over an interval of time is either smaller then or equal to the average speed of the object over the same interval. Reason: Velocity is a vector quantity and speed s a scalar quantity.

Assertion: The magnitude of average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. Reason: Path length (distance) is either equal or greater than the magnitude of displacement.

Prove that average velocity of an object can never be greater than the average speed of an object over a given interval of time.

The velocity of an object changes from 50 m/s to 60 m/s in 20 seconds. What is the average acceleration of the object over that interval?

Explain clearly, with ezamples, the distaintion between : (a) magnitude of displacemnt (sometimes called distance ) overand interval of time, and the total length of the path coverd by a particle over the same interval. (b) magnitude of average velocity over an intercal of time , and the average speed ocer the same interval. [ Average speed of a particle over an interval of time is defined as the toal path length divided by the time intrval]. Show in both (a) and (b) that the second quantity is either greater than or equal to first. When is the equality sing true ? [ For simplocity, consider one- dimensional motion only]

Assertion: The average speed of a body over a given interval of time is equal to the average velocity of the body in the same interval of time if a body moves in a straight line in one direction. Reason: Because in this case distance travelled by a body is equal to the displacement of the body.

An object travels 20 m in 10 s. What is the average speed of the object ?

It magnitude of average speed and average velocity over an interval of time are same, then