A vertical curve is a quadratic equation: y = ax2 + bx+c where y is the...

   

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A vertical curve is a quadratic equation: y = ax2 + bx+c where y is the height difference between a point on the vertical curve and the starting point of the curve, and x is the horizontal distance from the starting point of the vertical curve. It is known that the mileage of the previous VPI (the intersection point of the two slope lines) is 107K+510 and its height is 200.350 meters, while the VPI mileage of the current vertical curve is 108K+750, and its height is 185.620 meters. The current vertical curve is 800 meters long. Please find the equation of this vertical curve, and calculate the height of the end point, the lowest point and the middle point of the current vertical curve, and the mileage of the starting point, the end point, the lowest point and the middle point of the current vertical curve. A vertical curve is a quadratic equation: y = ax2 + bx+c where y is the height difference between a point on the vertical curve and the starting point of the curve, and x is the horizontal distance from the starting point of the vertical curve. It is known that the mileage of the previous VPI (the intersection point of the two slope lines) is 107K+510 and its height is 200.350 meters, while the VPI mileage of the current vertical curve is 108K+750, and its height is 185.620 meters. The current vertical curve is 800 meters long. Please find the equation of this vertical curve, and calculate the height of the end point, the lowest point and the middle point of the current vertical curve, and the mileage of the starting point, the end point, the lowest point and the middle point of the current vertical curve.

Answer rating: 100% (QA)

Previous VPI mileage 107K 510 meters Previous VPI height 200350 meters Current VPI mileage 108K 750 ... View the full answer