Example for Braking

Professor Park is late for CE$-342$ and is traveling towards the intersection of Third Avenue and ${20}^{TH}$ Street at $45mph.$ And when Marshall's newest professor is $250ft$ from the intersection, the light turns yellow. $($The yellow $($plus all red$)$ time of the signal lasts $3\mathrm{.}5$ seconds$)$

Using practical stopping distance, can Professor Park either stop in time to not get stuck at the intersection and be later for class? Or can Professor Park make it through the intersection before ${20}^{TH}$ Street has a green light?

What about using theoretical stopping distance?

$\backslash$table$[[$Given$\text{'}$s$,],[$Length of Car $=16ft-\frac{5^{11}}{16}$ in$.,=0\mathrm{.}002378$ slugs $\frac{?}{f{t}^3}$