A particle executes linear simple harmonic motion with an amplitude of $3\;{\rm{ }}cm.$ When the particle is at ${\rm{2 \;}}cm$ from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

Graph between velocity and displacement of a particle, executing S.H.M. is

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

Two particles P and Q start from origin and execute Simple Harmonic Motion along X-axis with same amplitude but with period 3 seconds and 6 seconds respectively. The ratio of the velocities of P and Q when they meet is

In SHM, the amplitude is $6$ cm. At what displacement from the mean position will the magnitude of velocity be equal to half the maximum velocity, if at a certain displacement, the magnitudes of velocity and acceleration are equal?

A body executing simple harmonic motion has a maximum acceleration equal to $24\,\,m{s^{ - 2}}$ and maximum velocity of $16\,\,m{s^{ - 1}}$ ,the amplitude of the simple harmonic motion is

If the maximum acceleration of a $SHM$ is $\alpha$ and the maximum velocity is $\beta$, then the amplitude of vibration is

A particle moves in x-y plane according to rule x=a sin⁡ωt and y=a cos⁡ωt. The particle follows

A particle executing SHM has a maximum speed of $31.4$ cm/s and a maximum acceleration of $5$ m/s$^2$. Find the amplitude of oscillation.

A simple pendulum swings back and forth. What is its average velocity over one complete swing?

Which of the following is the correct unit of acceleration?