$(3$ points total$)$ Passing and Decision Sight Distance

What is the required sight distance in the following cases:

a$.(1$ point$)$ A driver decided to overtake another vehicle on a

two$-$lane roadway. Assume the design speed is $40$ MPH $.$

b$.(1$ point$)$ A driver made the decision to change direction on

an urban road. Assume the design speed is $40$ MPH $.$

c$.(1$ point$)$ Briefly discuss the difference between $($a$)$ and $($b$).$

$(2$ points$)$ Nonuniform Acceleration

A vehicle is traveling at an initial speed of $40$ mph $.$ How long

will it take the vehicle to accelerate to $55$ mph if the

acceleration of the vehicle takes the form shown in the

following equation? Please express your answer in seconds

and round to two decimal places.

$=4\mathrm{.}20-0\mathrm{.}03u_t$