Question $5(30)$: A crest vertical curve connects a $+4\%$ grade and a $-5\%$ grade. The PVI is at

station $43+50\mathrm{.}00$ at an elevation of $1240\mathrm{.}00ft.$ The design speed is $45m\frac{i}{h}.$

Determine:

$($a$)$ The length of the vertical curve using the AASHTO method $("$K$"$ factors, from Lecture $14$

Slides$)(5$ points$)$

$($b$)$ The station of the PVC $(5$ points$)$

$($c$)$ The elevation of the PVC $(5$ points$)$

$($d$)$ The station of the PVT $(5$ points$)$

$($e$)$ The elevation of the PVT $(5$ points$)$

$($f$)$ The station of the high point $(5$ points$)$

$($g$)$ The elevation of the high point $(5$ points$)$