A mass, spring and damper has the well-known mathematical model of Mx^Dot + Bx^dot + Kx = f(t) The parameters off the model are M = 2 kg, K = 16 N/m, and B = 4 Ns/m. The force f(t) = 8 N is a step input and is applied at t = 0 Using the state variable approach, solve for x(t)and v(t) for t = 0 to 8 sec. Suppose B takes on values of 8, 12 and 24 N s/m, re-evaluate x(t)and v(t) for t = 0 to 8 sec. Plot the responses one plot correspondingly to x(t)and v(t). Your program should use a 'for' loop for selecting the various values of B