Velocity and displacement of a particle executing S.H.M. are out of phase by `pi/2`. Explain why?

What is the displacement of a particle executing SHM?

The acceleration of a particle inS.H.M. is

What is relation between acceleration and displacement of a particle executing S.H.M?

The displacement of a particle is directly proportional to the square of the time.Explain whether the object is moving with uniform velocity or with uniform acceleration.

What is the values of oscillation-amplitude and frequency f the particle executing S.H.M. from equation y=r sin omegat ?

When the potential energy of a particle executive S.H.M. is one-fourth of the maximum value during the oscillation, its displacement from the equilibrium position in terms of its amplitude a is

The instantaneous acceleration of a particle executign S.H.M. Given by y = a sin omegat , is