A vertical curve is designed to join a +4% grade with a -2% grade. Assume that the stopping sight distance is 600 ft., the driver's eye height above the roadway surface is 3.5 ft., and the height of an object in the road to be avoided by stopping is 3 ft. Determine the minimum design length of the vertical curve.

The following table shows the stations and ordinates for a mass diagram. The free-haul distance is 600 ft. Overhaul cost is $12 per station yard. (a) Use the method of moments to compute the additional cost that must be paid to the contractor. (b) Sketch the ground profile if the finished grade of this roadway section is level (0 percent).