$(30$ pts$)$ Given a vertical curve with the following parameters:

$g_1=-1\mathrm{.}5\%$

$g_2=4\mathrm{.}5\%$

$L=700ft$

PVI Station $=39+00$

PVI Elevation $=201ft$

a$)$ What kind of curve is it$?$ Sag or crest?

b$)$ Calculate the stations and elevations of the PVC and PVT$.$

c$)$ Find the high point $($if crest$)$ or low point $($if sag$).$

d$)$ Create a table of stations and elevations to stake out the curve at full stations $(100ft).$

e$)$ Find the station and elevation of the high point $($if crest$)$ or low point $($if sag$).$

f$)$ At station $40+41,$ overhead electrical wires cross the road in a perpendicular direction. The elevation of the bottom of the wires is ${234\mathrm{.}89}^{\text{'}}.$ The NYS DOT design specifications require at least $25$ feet of clearance between the road surface and the bottom of the wires. Does this curve satisfy that requirement? What is the elevation of the curve at station $40+41?$