Assume that the vertical curve you want to design goes over a slight rise, joining a straight section of grade 1.35% to a straight section of grade −1.75%. Assume that the length of the curve is to be...

Assume that the vertical curve you want to design goes over a slight rise, joining a straight section of grade 1.35% to a straight section of grade −1.75%. Assume that the length of the curve is to be 500 feet (so L = 5) and that the elevation of the intersection is 1040.63 feet.

a. What phrase in the first paragraph of this exercise assures you that a quadratic model is appropriate?

b. What is the equation for the vertical curve described above? Don’t round the coefficients.

c. What are the elevations of the stations for the vertical curve?

d. Where is the highest point of the road on the vertical curve? (Give the distance along the vertical curve and the elevation.) 6. Quadratic data: Show that the following data can be modeled by a quadratic function.