A block of mass m is attached to a spring of spring constant k which is attached to a wall as shown on the right. If the block starts at time t = 0 with the spring being at its rest length but the block having a velocity v0, find a solution for the mass's position at all subsequent times. Make any assumptions you like in order to have a plausible but solvable model, but state your assumptions explicitly. Part (b) Is the energy at time t=0 kinetic, potential, or a mixture of the two? Part (c) Explain the reasoning you used to answer part (b). Part (d) Is the energy at time t=2mk kinetic, potential, or a mixture of the two? Part (e) Explain the reasoning you used to answer part (d). Part (f) Is the energy at time t=2mk kinetic, potential, or a mixture of the two? Part (g) Explain the reasoning you used to answer part (f)