tangent vertical curve is intended to connect grades of 3.6% and -3.2%. If this curve is to be a part of a highway designed with a PSD of 550ft, determine the minimum length

Determine the minimum length of a sag vertical curve between a -1.06% grade and + 2.1% for a road with 110 kph design speed. The vertical curve must provide 200 m sight distance

(b) For the safe road design and smooth traffic flow, combination of transition and circular curve will be constructed to combine two tangent line that have bearing of N 70° E (entry tangent) and S 80° E (exit tangent) respectively. With the aid of sketch, design the minimum length of transition curve and circular curve that has the following characteristics • Design speed = 110 km/hr coefficient of side friction, f= 0.15 Superelevation, e = 5 % • Radial acceleration, c = 0.9 m/s³

Two sections of a highway are separated by 800m. The initial grade is +3.0% and the final grade is -1.0% and the elevation is 12m. Determine the curve lengths required for a 120km/hr vertical alignment to connect two highway segments, keeping the connecting grade as small as possible.

A -4% grade line meets another line of +3.2% grade at station 11+ 4O. If a 225-ft parabolic curve connects these grade lines, at what station is the lowest point along the curve located? Your answer

please be sure answer is correct.

An equal tangent vertical curve is intended to connect grades of 3.5% and -2.9%. If this curve is to be a part of a highway designed with a PSD of 500ft, determine the minimum length (ft) of the vertical curve. Use exact solution (do not use the table).

Show work and answer question 7 only

answer question 21 only