a$)$ A highway is being designed to AASHTO guidelines with a $100$ km$/$h design speed, and at one section, an equal$-$tangent vertical curve must be designed to connect grades of $+2\mathrm{.}0\%$ and $-5\mathrm{.}0\%.$ Determine the minimum length of the curve necessary to meet SSD requirements.b$)$ Find i$)$ the offset distance and ii$)$ curve elevation belongs to low$/$high point ifPVC elevation is $705.$c$)$ If the grades intersect at station $4+000,$ determine the stationing of the PVC$,$ PVT