Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

tan (α - β)/tan (α + β)
sin (α + β)/sin (α - β)
cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)

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Applied Mechanics and Graphic Statics
The force acting on a point on the surface of a rigid body may be considered to act

On the periphery of the body
At any point on the surface normal to the line of action of the force
On any point on the line of action of the force
At the centre of gravity of the body

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Applied Mechanics and Graphic Statics
The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

Original velocity in the opposite direction
Original velocity in the same direction
Half the original velocity in the same direction
Half the original velocity in the opposite direction

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