Question

During an accelerated motion of a particle ,the average

A) velocity of the particle is always less than its final velocity.

B) velocity of the particle is always greater than its final velocity.

C) velocity of the particle is half its final velocity

D) velocity of the particle may be zero also

Select the above option and explain

Answer 1

Think of it this way.
Velocity is defined at an instant.
While Average Velocity is the average taken of this instantaneous velocity over some period of time.

Now in the question, we talk about the final velocity (denoted by v) of the particle.
As the motion is always accelerated, v is the highest velocity attained by the particle.

As the average of some certain values ( velocities in this case ) is always less than the highest value ( v in this case ).

Average Velocity < v (Final Velocity).


Option (A) : True

Option (B) : False

Option (C) can be true in some cases but not always: Statement is False

Option (D) Average velocity may be zero in some case (its written maybe) : True


For (D), you can take an example of a particle traveling some distance and returning to the same point. (Displacement = 0)