Question $4(25\mathrm{.}0$ Point$)$

A crest vertical curve joining a $2\%$ and a $-3\%$ grades is to be designed for $60k\frac{m}{h}r.$ The tangents intersect at station $($PVI$)20+00$ at an elevation of $125m,$ and the station of the beginning of the vertical curve $($BVC$)$ is $18+50.$ Determine:

a$)$ The absolute difference of grades $($A$).$

$(4$ Points$)$

b$)$ Length of the curve.

$(5$ Points$)$

c$)K$

$(4$ Points$)$

d$)$ Elevation of BVC$.$

$(4$ Points$)$

e$)$ Station of EVC.

$(4$ Points$)$

f$)$ Elevation of EVC.

$(4$ Points$)$