Question 1 A cat toy of mass 1 kg is attached to a spring hanging from a fixed support. The displacement of the mass below the equilibrium position, y(t), can be described by the homogeneous second order linear ODE y"(t) + 3y' (t) + ky(t) =0, 120. Here, k denotes the spring constant. (a) For which values of k is the system underdamped, critically damped, overdamped? f 6 - add any extra pages after page 6 - Page 2 of 6 (b) Let k = 4, and suppose the mass is initially released from a displacement of 1, with no initial velocity. Find the solution for the initial value problem in this case