$(4$ points total$)$ Stopping Sight Distance with Friction

A person is driving a car on a road that has a wet asphalt

surface with a coefficient of friction of $0\mathrm{.}55.$ A dog suddenly

leaps into the road. The road is on a $3\%$ downgrade, and the

car is traveling at $45$ mph when the dog appears. The driver's

reaction time is $2\mathrm{.}5$ sec $.$

a$.(2$ points$)$ Please find the total distance required to stop.

Express your answer in feet and round to the nearest foot.

b$.(2$ points$)$ Compare your stopping sight distance calculation

from part a to the value from the table $($for the appropriate

grade and speed$)$ found in the Green Book. Which stopping

sight distance value is longer? Briefly discuss the

difference.