Solve the each part of following problem given below:
Problem: A mass of 0.28kg on the end of a spring oscillates with a period of 0.45 s and amplitude of 0.15 m.
Part I: Find the velocity when it passes the equilibrium point.
Part II: Find the total energy of the system.
Part III: Find the equation describing the motion of the mass, assuming that x was a maximum at time t = 0.
Please show all work and clearly explain to find the velocity when it passes the equilibrium point.