SOLVE STEP BY STEP EXPLANATION:

Tabulate station elevations for an equal$-$tangent parabolic curve: $770-$ft curve with grades of

$gl=-2\mathrm{.}75\%$ and $g2=-4\mathrm{.}5\%,$ V is at elevation of $550\mathrm{.}25ft.$ Station of BVC IS $31+23.$ Stakeout

the vertical curve at BVC$,$ EVC and full stations.

$*$Note: In your calculations, find your $"r($in $9$ of stations$)"$ with tro decimals. Also find

all layout table calculations with three decimals$*$

Field conditions require a vertical curve to pass through a fixed point which is a railroad

crossing. The fixed point has the elevation of $655ft$ at station $48+65.$

a$)$ Find a suitable vertical curve which passes through the fixed point and has grades of

$gl=-4\mathrm{.}0\%$ and $g2=-3\mathrm{.}60\%$ and $V$ with elevation of $665ft$ and station of $49+75.$

Hint: Finding a suitable vertical means finding length of the curre.

b$)$ Find the elevation of the curve at station $51+25.$