Problem #$2$: Vertical Alignment Design

Given:

Vertical profile data for the proposed two$-$lane rural highway are provided in Figure $2.$

The design speed is $60mph.$

Find:

a$.$ Design the crest vertical curve to provide minimum stopping sight distance, and

round the length to the next highest $50$ foot increment $($e$.$g$.,$ if you determine the

minimum length of vertical curve is $520$ feet, please round to $550$ feet$).$ Include the

length of vertical curve, and PVC and PVT stations and elevations in your design.

In addition, determine the high point of the crest vertical curve. Assume that

"standard" AASHTO driver eye and object heights are appropriate.

b$.$ What minimum vertical curve length should be provided if the driver eye height is

lowered to $3\mathrm{.}0$ feet and the object height is lowered to $1\mathrm{.}0$ feet for the crest vertical

curve?Figure $2.$ Vertical Alignment for Problems #$1$ and #$2$