Topic $7$: Vertical Alignment and Sight Distance

A vertical curve on a highway joins a $+4\mathrm{.}0$ percent grade with a $-6\mathrm{.}0\%$ percent grade at STA$10+120$ and elevation at $130$ m $.$ If the length of the curve is $300$ m $,$ determine elevations at every $50-m$ station and locate the station and elevation of the high point of the curve.

A minus $4\mathrm{.}8$ percent grade intersects a plus $3\mathrm{.}2$ percent grade at station $9+050$ and at an elevation of $150$ m $.$ Given that a $600-m$ curve length is utilized, determine the station and elevation of the PVC and PVT$.$ Calculate elevations at every $50-m$ station and locate the station and elevation of the high point of the curve.

A minus $2\%$ intersects with a minus $6\%$ at station of $10+000$ and elevation of $100$ m $.$ If the design speed is $100k\frac{m}{h}r,$ determine elevations at every $100-m$ station and locate the station and elevation of the highest and lowest point of the curve. $($Given that $f=0\mathrm{.}11$ and PIEV time $=2\mathrm{.}0sec)$