Could you please help me figure this out? thanks

(1 point) Consider the initial value problem my\" + C)\" + ky = F0), y(0) = 0, y'(0) = 0 modeling the motion of a spring-massdashpot system initially at rest and subjected to an applied force F (t), where the unit of force is the Newton (N). Assume that m = 2 kilograms, c = 8 kilograms per second, k = 80 Newtons per meter, and the applied force in Newtons is ' 7r/2. a. Solve the initial value problem, using that the displacement y(t) and velocity y'(t) remain continuous when the applied force is discontinuous. For 0 5 t S \"/2, y(t) = help (formulas) Fort > \"/2, y(t) = help (formulas) b. Determine the long-term behavior of the system. Is lim y(t) = 0? If it is, enter zero. If not, enter a function that approximates y(t) for very large tboo positive values of t. For very large positive values of t, y(t) a: 0 help (formulas)