(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
v_o.
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 = x_o.
In this latter case, how far is the cart from equilibrium after a time equal to