Traffic engineers are designing a stretch of highway that
Chapter 3, Problem 50(choose chapter or problem)
Traffic engineers are designing a stretch of highway that will connect a horizontal highway with one having a 20% grade that is, slope , as illustrated in the figure. The smooth transition is to take place over a horizontal distance of 800 feet, with a parabolic piece of highway used to connect points A and B. If the equation of the parabolic segment is of the form , it can be shown that the slope of the tangent line at the point on the parabola is given by . (a) Find an equation of the parabola that has a tangent line of slope 0 at A and at B. (b) Find the coordinates of B
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