Design a vertical curve with the given PVI to go through a future intersection location at...

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Design a vertical curve with the given PVI to go through a future intersection location at the point at which the vertical curve is flat (i.e. the tangent slope is 0). Using the conditions given in Figure 3-1, report the station and elevation of the vertical curve's PVC and PVT. [20 points] PVC Station = ? Elevation = ? G₁ = -3.5% PVI Station = 99+00 Elevation 270 ft - Future Intersection Station 100+00 Flat grade here (G=0) G₂ = 1.5% PVT Station = ? Elevation = ? Figure 3-1 Illustration of the Sag Vertical Curve Design a vertical curve with the given PVI to go through a future intersection location at the point at which the vertical curve is flat (i.e. the tangent slope is 0). Using the conditions given in Figure 3-1, report the station and elevation of the vertical curve's PVC and PVT. [20 points] PVC Station = ? Elevation = ? G₁ = -3.5% PVI Station = 99+00 Elevation 270 ft - Future Intersection Station 100+00 Flat grade here (G=0) G₂ = 1.5% PVT Station = ? Elevation = ? Figure 3-1 Illustration of the Sag Vertical Curve