A driver driving under the influence at $45m\frac{i}{h}$ sees an object $500$ ft ahead on a $3\%$ downhill

road and tries to stop but fails and strikes it at $15m\frac{i}{h}.$ a$)$ What was his perception$-$reaction

time while he was under the influence? b$)$ Would he have hit the object if he was sober and

had the standard perception$-$reaction time of $2\mathrm{.}5$ s $?$

a$)$ Perception$/$reaction time: $t_{pr1}=\frac{310\mathrm{.}83}{66\mathrm{.}00}=4\mathrm{.}71s($Check$!)$

b$)$ He would not have hit the object if he was sober! $($Check$!)$