A vertical curve will be designed. The road is divided state road and has two lanes in each direction. The design speed is $120k\frac{m}{h},$ the driver perception and reaction time is $2sec,$ the grades are $3\%$ and $-5,5\%,$ the friction coefficient is $0,40,$ elevation of point of intersecting is $100m.$ If necessary, the safety distance: $d=8+0,2V.$

e$)$ Decide the the vertical curve type and draw the skecth of the vertical cuve $(5$p$)$

f$)$ Calculate the vertical curve length considering the stopping sight distance $(12\mathrm{.}5$p$)$

g$)$ Write the elevation formula of the parabolic vertical curve $(7\mathrm{.}5$p$)$

h$)$ Calculate the elevations of end point $($T$2)$ of the vertical elevation and the point which is $50m$ away from the initial point $($T$1)$ of the vertical curve $(25$ p$)$