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

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

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Applied Mechanics and Graphic Statics
A body is said to move with Simple Harmonic Motion if its acceleration, is

Inversely proportion to the distance from the point of reference
Proportional to the distance from the point of reference and directed towards it
Proportional to the square of the distance from the point of reference
Always directed away from the centre, the point of reference

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