While a particle executes linear simple harmonic motion

Options

A. its linear velocity and acceleration pass through their maximum and minimum values once in each oscillation.
B. Its linear velocity and acceleration pass through their maximum and minimum values twice in each oscillation.
C. its linear velocity and acceleration pass through their maximum and minimum values four times in each oscillation.
D. its linear velocity and acceleration always attain their peak values simlataneaously.

Answer

B

Explanation

The velocity is minimum (zero) at the extreme positon and maximum `(+-omegaA)` at the mean position.
The acceleration is maximum `(+-omega^2A)` at the extreme positions and minimum (zero) at the mean position. Since the particle crosses the mean and extreme position twice, during each oscillation, hence the result.