A horizontal mass-spring system consists of a 0.32-kg mass attached to a spring with a spring constant of 25 N/m. It is observed that at t = 0 the displacement is x = 0 however the velocity is +2.5m/s.
1) What is the maximum value of the acceleration?
2) What is the maximum value of the potential energy, and at what time does this maximum value first appear?
3) Write down an expression for the position, x, of the mass with respect to the time in the form x(t) = A cos (?t+?) with the quantities A, ?, and Calculated.