Engineering Mechanics
If u₁ and u₂ are the velocities of two moving bodies in the same direction before impact and v₁ and v₂ are their velocities after impact, then coefficient of restitution is given by

(v₂ - v₁)/(u₁ - u₂)
(u₂ + u₁)/(v₂ + v₁)
(v₁ - v₂)/(u₁ - u₂)
(u₁ - u₂)/(v₁ - v₂)

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

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