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

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

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Applied Mechanics and Graphic Statics
The maximum displacement of a particle executing S.H.M. corresponds to

Maximum kinetic energy and maximum potential energy
Minimum kinetic energy and minimum potential energy
Zero kinetic energy and maximum potential energy
Zero potential energy and maximum kinetic energy

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