(a) Consider a cart on a spring which is critically damped. At time t=0, it is sitting at its equilibrium position and is kicked in the positive direction with velocity vo. Find its position x(t) for all subsequent times and sketch your answer. (b) Do the same for the case that it is released from rest at position x=xo. In this latter case, how far is the cart from equilibrium after a time equal to τo=2π/ωo the period in the absence of any damping?