1. A symmetrical parabolic curve has descending grade of 6% and an ascending grade of 2% and intersect at Sta 5 + 120.25 whose elevation is at 14.375 m. The two grades are to be connected by a parabolic curve, 160 m long. Find the elevation of the first quarter and lowest points on the curve.

A vertical parabolic curve is designed to pass thru three points on the profile of an existing unimproved road with stationing and corresponding elevations as follows: P1: station 6 + 220, Elev. 63m; P2: station 6 + 435, Elev. 68m; P3: station 6 + 555, Elev. 60.50m.a.     Determine the stationing of the highest point of the curve.b.     Determine the elevation of the highest point of the curve.

A compound curve has the following data: I1=28' ;  I2=31'. ; D1=3'. ;  D2=4' Sta. PI @ 30+120.5 a. determine the length of the common tangent. b. compute the station at PCC

Sag Curve: A grade from the PVC to the PVI is -6% and from PVI to PVT is +2%. It is required to connect these grade lines with a vertical parabolic curve will pass 3.0 m. directly above the PVI. 11. Determine the length of this curve. a) 420 m b) 380 m c) 400 m d) 300 m 12. Determine the location of the lowest point measured from the PVT. a) 100m b) 75m c) 100m d) 225m 13. Compute the vertical offset at a point on the curve 100m from the PVC. a) 2.45m b) 2.33m c) 1.56m d) 1.33m