Part $1.$ Crest Vertical Curve $(4$ pts$)$

$G_1=+2\%$

$G_2=-5\%$

VPI Station $=200+00$

VPI Elevation $=900\mathrm{.}00-$ft

Design Speed $=40mph$

a$)$ Determine the minimum length of curve $(1$ pt $)$

b$)$ Determine the equation that provides the elevation at any point along the curve as a function of its distance from the VPC $(1$ pt$)$

c$)$ Determine the station of the high point. $(1$ pt$)$

d$)$ Determine the elevation of the high point $(1$ pt$)$