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A parabolic curve is used to connect a 4% upgrade with a 2% downgrade as shown in the below figure. The highest point on the summit is at a distance of (measured horizontally from the first tangent point - (FTP)

πŸ—“ Apr 19, 2024

Answer is "75 m"

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Anonymous 🌐 Gujarat
Given :-

Gradients
n1= 4%
n2 = -2%

Length of curve = 150m

Solution:-

Deviation angle N = |n1 - n2|
= |4% - (-2%)|
N =+6%

Now,
y = ax^2

Now Highest point on the summit curve occurs at

x= n1*L
β€”β€”β€”β€”
N
= 0.04*150
_____________
0.006

X= 100m.
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Anonymous 🌐 Rajasthan
100m
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