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Vertical Curve Problem
Given: Two tangents to a roadway profile intersect at an elevation of 100. The first tangent is at a 2% uphill
grade and the second tangent is a -5% downhill grade. Calculate the equation of
a 200 ft parabolic curve connecting the two tangents and the elevation at the
mid point of the curve. Let the “x” origin be at the beginning of the curve.
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The equation of the tangent lines are y = -0.05x + 105 and y = 0.02x + 98 but I'm not sure where to go from there.
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