
Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
Surveying Vertical Curves When a road is being built, it usually has straight sections, all with the same grade, that must be linked to each other by curves. (By this we mean curves up and down rather than side to side, which would be another matter.) It’s important that as the road changes from one grade to another, the rate of change of grade between the two be constant. The curve linking one grade to another grade is called a vertical curve.
Surveyors mark distances by means of stations that are
Here
Figure 5.72
Assume that the vertical curve you want to design goes over a slight rise, joining a straight section of grade
a. What is the equation for the vertical curve described above? Don’t round the coefficients.
b. What are the elevations of the stations for the vertical curve?
c. Where is the highest point of the road on the vertical curve? (Give the distance along the vertical curve and the elevation.)

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Chapter 5 Solutions
EBK FUNCTIONS AND CHANGE: A MODELING AP
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