Chapter $2-$ Problem $2$:

A section of US$-460,$ between I$-81$ and campus, goes across a valley and includes a long straight section with a $3\%$ slope in the distance and a $4\%$ slope where the cars in the picture are returning to campus coming friom I$-81.$ The speed limit is $65m\frac{i}{h}$ and both directions were resurfaced in April, $2020$ during the pandemic stay$-$at$-$home order. Animals regularly move across US$-460$ in this valley.

You are returning to campus after picking up a friend in Roanoke. Because it is raining, you are traveling five $(5)$ miles below the speed limit$.$ An animal runs across US$-460$ in front of you and you slam on the brakes, skidding to a stop $($but you do not hit the animal$).$ Consider each scenario: where the animal could cross in front of you on $(1)$ the $3\%$ section in the distance of the picture or $(2)$ the $4\%$ section where you see the vehicles. Assume your vehicle's braking efficiency is $0\mathrm{.}85$ and your perception$/$reaction time is $1\mathrm{.}5$ second for both scenarios.

What are the two stopping distances and what is their difference in feet? Provide your answers in whole feet $($ie no decimals$).$ It makes no sense to report stopping distance to fractions of a foot. Show your work.

Should you be more alert on the $3\%$ section or the $4\%$ section and explain why using the variables in the problem?