A $+2$ percent grade intersects with a $-1$ percent grade at station $(535+24\mathrm{.}25)$ at an eleva$-$

tion of $300$ ft $.$ If the design speed is $65m\frac{i}{h},$ determine:

$($a$)$ the minimum length of vertical curve using the rate of vertical curvature

Then, using the length found in part $($a$),$ find:

$($b$)$ the stations and elevations of the BVC and EVC

$($c$)$ the elevation of each $100-$ft station

$($d$)$ the station and elevation of the highpoint