Average velocity of a particle executing SHM in one complete vibration is

Q. Average velocity of a particle executing SHM in one complete vibration is:

1. Zero
2. Aw/2
3. Aw
4. Aw²/2

Answer: Zero

Simple Harmonic Motion

A thing that is moving back and forth or to and fro is said to be vibrating. Another word for vibration is oscillation. A special way of vibrating or oscillating is called simple harmonic motion.
The motion of a particle moving along a straight line with an acceleration whose direction is always towards a fixed point on the line and whose magnitude is proportional to the distance from the fixed point is called simple harmonic motion [SHM].

Since average velocity is displacement (change in position) divided by the time interval over which the displacement occurred, if we take the time interval to be some number of periods of oscillation, the displacement of a particle undergoing SHM will be zero, and so the average velocity will also be zero.