A $10$ lb product has two critical elements. The natural frequency of critical element A is $22$ Hz $.$ The natural frequency of critical element B is $38$ Hz $.$ The product is dropped from a height of $3$ ft $.$ onto a linear, undamped cushion with stiffness of $500$ lb$/$in$.$ Assume a fully elastic impact. Using a shock theory approach, determine the maximum acceleration of the shock experienced by critical elements A and B$?$