Tests reveal that a normal driver takes $0\mathrm{.}75s$ about before he or she can react to a situation to avoid a collision. It takes about $3s$ for a driver having $0\mathrm{.}1\%$ alcohol in his system to do the same. If such drivers are traveling on a straight road at $30mph(44f\frac{t}{s})$ and their cars can decelerate at $2f\frac{t}{s^2},$ determine the shortest stopping distance $d$ for each from the moment they see the pedestrians. Plot position $(s)$ as a function of time for both drivers.