Question

Pick the correct statements
(a) Average speed of a particle in a given time is never less than the magnitude of the average velocity.
(b) It is possible to have a situation in which |d→vdt|≠0 but ddt=|→v|=0
(c) The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero is the interval.
(d) The average velocity of a particle moving on a straight line is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. (Infinite accelerations are not allowed).

Answer 1

The correct statements are option (a), (b) and (c).

Explanation:

To pick the correct statement from the given options :

(A) It is the correct option :

Reason given below :

• The real time velocity (v=d/t) nor the lowest time velocity (s=d/t).
• Because the distance is either greater than or equal to the displacement (distance to each displacement), it is evident that the average speed is equal to or greater than the average speed.

(B) It is the correct option :

Reason given below :

• This is a case in which the magnitude of the acceleration is not 0, but the velocity is 0.
• Such a condition is indeed possible if we propel a car from rest.
• The car is initially at rest, but it has a positive non-zero acceleration.

(C) It is the correct option :

Reason given below :

• Average velocity of the particle is zero in a time interval.
• But instantaneous velocity is never zero in the interval.
• Upon completing 1 complete revolution, when a particle travels in a uniform circular motion, its velocity is 0, but it has a certain instantaneous velocity throughout the journey.

(D) It is the wrong option.