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Problem $2.$ A highway section is being reconstructed for a design speed of $60$ mph $.$ Field measurement is performed for an existing crest vertical curve. It has found that the vertical curve offset is $3\mathrm{.}5$ ft at a location that is $340$ ft away from PVC$.$

$($a$)$ Does this vertical curve satisfy the design speed of $60$ mph $?$

$($b$)$ It is known $G_1=+3\%.G_2$ is negative. Vertical curve length is $720$ ft $.$ What is $G_2?$

$($c$)$ Find the station and elevation of the highest point. It is known that PVC is at station $100+78,$ elevation at PVC is $754$ ft $($above sea level$).$

$($d$)$ Briefly explain why is the highest point important in design.

$2$