What is the acceleration (a) of an object in SHM at its maximum displacement?

Suppose we have a mass (m) of 2 kg attached to a spring with a spring constant (k) of 200 N/M. Find the angular frequency (ω):

The maximum velocity in SHM occurs when: 

In SHM, what is the phase difference between velocity and displacement? 

The displacement of an object in SHM at time is x(t) = 4 sin sin 2t. What is the amplitude of this motion? 

If the amplitude of an SHM is doubled, how does the maximum kinetic energy change?

What is the relationship between the angular frequency (ω) and the frequency (f) of SHM?

Suppose we have a mass (m) of 2 kg attached to a spring with a spring constant (k) of 200 N/M. Initially, the mass is displaced 0.2 meters from its equilibrium position and released from rest. Find the equation of motion for this system, describing the position of the mass as a function of time.

Suppose we have a mass (m) of 0.7 kg attached to a spring with a spring constant (k) of  100 N/M. Find the angular frequency (ω):

The period of a simple harmonic motion is 2 seconds. What is its frequency in Hertz (Hz)?