Homework $5\mathrm{.}2$

A current roadway has a design speed of $100k\frac{m}{h}r,$ a coefficient of friction of $0\mathrm{.}1,$ and carries

drivers with perception$-$reaction times of $2\mathrm{.}5$ seconds. The drivers use cars that allows their eyes to

be $1$ meter above the road. Because of ample roadkill in the area, the road has been designed for

carcasses that are $0\mathrm{.}5$ meters in height. All curves along that road have been designed accordingly.

The local government, seeing the potential of tourism in the area and the boost to the local

economy, wants to increase the speed limit to $110k\frac{m}{h}r$ to attract summer drivers. Residents along

the route claim that this is a horrible idea, as a particular curve called "Dead Man's Hill" would

earn its name because of sight distance problems. "Dead Man's Hill" is a crest curve that is roughly

$600$ meters in length. It starts with a grade of $+1\mathrm{.}0\%$ and ends with $(-1\mathrm{.}0)\%.$ There has never been

an accident on "Dead Man's Hill" as of yet, but residents truly believe one will come about in the

near future.

A local politician who knows little to nothing about engineering $($but thinks he does$)$ states that the

$600-$meter length is a long distance and more than sufficient to handle the transition of eager big$-$

city drivers. Still, the residents push back, saying that $600$ meters is not nearly the distance

required for the speed. The politician begins a lengthy campaign to "Bring Tourism to Town",

saying that the residents are trying to stop "progress". As an engineer, determine if these residents

are indeed making a valid point or if they are simply trying to stop progress?