(a) (5 points) Suppose we have a mass on a vertical spring in the presence of gravity: y" (t) + by' (t ) + ky(t) = -G for constants b, k, G all strictly positive. For any initial condition, find the final resting height of the mass as too, lim y(t). 1-+00 (b) (5 points) Suppose that our vertical spring mass system is frictionless, b = 0. That is, y" (t) + ky(t) = -G. Find all initial conditions such that lim y(t) 1-+00 exists and determine the limit in this case(s)