A 5kg mass is placed on a frictionless surface and is attached to a spring with a stiffness of k=100N/m. The opposite end of the spring is attached to a wall. The spring is free to compress and extend. The mass is given an initial displacement of A = 25mm before it is released and oscillates with simple harmonic motion between +A and -A. The period of the motion is 1s.

Determine:

i) the maximum velocity and acceleration of the mass

ii) equations of motion for the displacement, velocity and acceleration