Question

The average velocity of a particle moving on a straight line is zero in an interval.

Statement 1: It is possible that the instantaneous acceleration is never zero in the interval.

Statement 2: It is possible that the instantaneous velocity is never zero in the interval.

• A. Statement 1 is True and Statement 2 is True.
  Statement 2 is a correct explanation for Statement 1.
• B. Statement 1 is True and Statement 2 is True.
  Statement 2 is not a correct explanation for Statement 1.
• C. Statement 1 is True and Statement 2 is False.
• D. Statement 1 is False and Statement 2 is True.

Answer 1

The correct option is C Statement 1 is True and Statement 2 is False.

The average velocity of a particle moving on a straight line is zero in an interval. This is only possible if particle has same initial and final position so the particle has to take a ${180}^o$ turn at some point and at that point instantaneous velocity will be zero. Therefore, Statement 2 is FALSE.
Instantaneous acceleration can be non-zero because while turning there will be some acceleration for change of velocity to occur.