Compute each part of given problem:
Problem: A mass m=1.85 kg in a spring-mass system with k=5.44 N/m is observed to be moving to the right, past its equilibrium position with a speed of 4.38 m/s at time t=0.
Part A: Ignoring all damping, determine the equation of motion.
Part B: Suppose the initial conditions are such that at time t=0, the mass is at x=0.550m and moving to the right with a speed of 4.38m/s. Determine the new equation of motion. Assume the same spring constant and mass.
Explain the each and every step in detail for help.