Concept explainers
A proposed highway traverses a hill-top bounded by uphill and downhill grades of 15% and -10%, respectively. These grades pass through benchmarks A and B located as shown in Fig. P8.39.
With the origin of the coordinate axes (x, y) set at benchmark A, the engineer has defined the hilltop segment of the
highway by a parabolic arc
(a) Find the slope of the line for the up-hill grade and the value of b for the parabolic arc.
(b) Find the equation of the line
(c) Given that at the downhill point of tangency
determine the point of tangency
(d) Find the equation of the parabolic arc.
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Introductory Mathematics for Engineering Applications
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