Q$1$: An equal$-$tangent vertical curve has a $100\frac{km}{h}$ design speed to connect a $-2\mathrm{.}8\%$ initial grade and $1\mathrm{.}5\%$ final grade. The stopping sight distance $($SSD$)$ that is required for this vertical curve has a value of $170m.$ The station of PVI is $100+00$ with elevation of $120m.$ Calculate the station and elevation of PVC and PVT$.($Assume the station interval is $25m)$