Problem # $2$

Design a crest vertical curve joining a $+3$ percent and a $-4$ percent grade.

Design speed $=75mph$

PVI$=345+60$ at an elevation of $250$ ft $.$

Find the length of the vertical curve. Find stations with elevations at every even $100$ ft and PVC and PVT$.$ Find the maximum elevation and its station.

Draw sketches for important stations $($PVC$,$ PVT$,$ station for maximum elevation$)$ and present in a Table.