$2\mathrm{.}27$ An engineering student is driving on a level

roadway and sees a construction sign $600$ ft ahead in

the middle of the roadway. The student strikes the sign

at a speed of $35m\frac{i}{h}.$ If the student was traveling at $55$

$m\frac{i}{h}$ when the sign was first spotted, what was the

student's associated perception$/$reaction time $($use

practical stopping distance$)?$