$\begin {array} {1 1} (a)\;v_1^2-v_2^2=2h(f_1-f_2)/m & \quad (b)\;v_1+v_2= \bigg[ \large\frac{2h(f_1+f_2)}{m} \bigg]^{\large\frac{1}{2}} \\ (c)\;v_1^2+v_2^2=2h(f_1+f_2)/m & \quad (d)\;v_1-v_2= \bigg[ \large\frac{2h(f_1-f_2)}{m} \bigg]^{\large\frac{1}{2}} \end {array}$