Question

Statement I For a particle moving along a straight line, the average velocity vector over a time interval would be equal to instantaneous velocity vector at the end of the interval only if the particle is moving with constant velocity.

Statement II If a particle is moving with constant velocity, then average velocity for any time interval is equal to the velocity of particle.

• A. Statement I is True, Statement II is True; Statement II is a correct explanation for Statement I
• B. Statement I is True, Statement II is True; Statement II is not a correct explanation for Statement I
• C. Statement I is True, Statement II is False
• D. Statement I is False, Statement II is True

Answer 1

The correct option is D

Statement I is False, Statement II is True

The explanation for Assertion statement:

1. If the particle is moving with constant velocity then its average velocity will be equal to its instantaneous velocity vector throughout the motion.

The explanation for Reason statement:

1. Average velocity is the net displacement of the particle over the time taken by the particle to reach the destination.
2. As the particle is moving with constant velocity, therefore it will get displaced equally in equal time intervals for a straight-line motion.
3. Hence, the average velocity for any time interval will be the same as the velocity of the particle.

Statement I is false and Statement II is true. Hence, Option D is correct.