Question $3(11$ points$)$

$5.$ A new interstate highway is being built with a design speed of $70m\frac{i}{h}.$ For one of the horizontal curves, the radius $($measured to the innermost vehicle path$)$ is tentatively planned as $2500$ ft $.$ What rate of superelevation is required for this curve?

$0\mathrm{.}034f\frac{t}{f}t$ or $3\mathrm{.}4\%$

$0\mathrm{.}025f\frac{t}{f}t$ or $2\mathrm{.}5\%$

$0\mathrm{.}028$ ft$/$ft or $2\mathrm{.}8\%$

$0\mathrm{.}031f\frac{t}{f}t$ or $3\mathrm{.}1\%$