Consider a cart on a spring which is critically damped. at time t = 0, it is sitting atits equilibeium position and is kicked in the positive direction with velocity v0. find its positionx(t) for all subsequent times and sketch your answer.(b) do the same for the case that it isreleased from rest at position x = x0. in this latter case, how far is the cart from equilibriumafter a time equal to t0 = 2π/ω0, the period in the absence of any damping?