You are riding on a bus $5$ meters long and traveling at $65mph,$ you notice someone about to drop a bowling ball from a bridge the bus is approaching. At the instant the driver must decide to hit the accelerator or the brake pedal, the bridge is $38$ meters away. The bus can accelerate at a rate of $3\mathrm{.}6\frac{m}{s^2}$ and decelerate at a rate of $5\mathrm{.}0\frac{m}{s^2}$ and the bowling ball falls from $10$ meters above the bus. What course of action should you suggest to the driver? Justify your answer.