Q$1)$ The project speed is $100k\frac{m}{h}$ on a divided state road with a vertical curve. The driver's transition reaction time is $2\mathrm{.}0$ seconds; the friction coefficient is $0\mathrm{.}4.$ Accordingly, calculate the following:

a$)$ The slopes of $g_1$ and $g_2.$

b$)$ The vertical curve length $($L$).$

c$)$ Calculate the grade line elevation of the points T$1$ and T$2$ as well every $30$ meters and present them in a table format.

Station $=0+000$

Elevation $=400m$