Engineering Mechanics
The ideal angle of banking provided on the curves on roads depends upon

Weight of the vehicle
Nature of the road surface
Coefficient of friction between the road and vehicle contact point
(Velocity)2 of the vehicle

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Engineering Mechanics
The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

y = (gx²/2u² cos²α) - x. tanα
y = x. tanα - (gx²/2u² cos²α)
y = (gx²/2u² cos²α) + x. tanα
y = x. tanα + (gx²/2u² cos²α)

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