Problem $3.$ Light$-$rail passenger trains that provide transportation within and between cities are capable of modest accelerations. A train travels through a congested part of town at $7\mathrm{.}0\frac{m}{s}.$ Once free of this area, it speeds up to $12\frac{m}{s}$ in $8\mathrm{.}0$ s $.$ At the edge of town, the driver again accelerates, with the same acceleration, for another $16$ s to reach a higher cruising speed. What is the final Speed?