a$.$ A vertical curve is to be designed to connect a $4\%$ grade to a $-2\%$ grade.

The elevation of the PVC is $1,250ft.$ Determine the minimum length of

curve for a $60mph$ design speed. Find the elevation of the PVI, the high

point on the curve, and the PVT$.$

b$.$ Draw this curve with PVC$,$ PVI, and PVT identifiers as well as indicating

the location of the high point. Show the tangent lines as well as the

curve. Reference the curve below.

Sag Curve with G$1(-3\mathrm{.}5\%)$ and G$2(0\mathrm{.}5\%)$