Velocity and Acceleration in SHM|Equation of SHM

When are the velocity and acceleration in the same direction SHM?

Assuming the general expression for the displacement of a particle performing SHM, obtain the expressions for its velocity and acceleration as functions of the displacement.

For a particle undergoing SHM, when will be its (a)velocity and displacement in the same direction (b) velocity and acceleration in the same direction (c ) displacement and acceleration in the same direction

Explain the relation in phase between displacement, velocity an acceleration in SHM, graphically as well as theortically.

Explain displacement, velocity, acceleration and time period in SHMs. Find the relation for them.

If y, v and a represent displacement velocity and acceleration at any instant for a particle executing SHM, which of the following statements are true?

If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude the time period will be

If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude, the time period will be

What is the phase relationship between diplacement, velocity and acceleration in SHM?