Engineering Mechanics
The range of projectile (R) on an upward inclined plane is

2u². sin (α + β). cos α/g. cos² β
g. cos² β/2u². sin (α - β). cos α
g. cos² β/2u². sin (α + β). cos α
2u². sin (α - β). cos α/g. cos² β

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Engineering Mechanics
The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body,m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)

[2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²
[m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²
[2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)
[m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)

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