A vertical curve of 1,000 ft is designed to connect a grade of +4% to a grade of −5%. The V.P.I. is located at station 1,500 + 55 and has a known elevation of 500 ft. Find the following:
(a) The station of the V.P.C. and the V.P.T.
(b) The elevation of the V.P.C. and the V.P.T.
(c) The elevation of points along the vertical curve at 100-ft intervals
(d) The location and elevation of the high point on the curve
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