A particle is projected from a smooth horizontal surface with velocity v at an angle ๐œƒ from horizontal . Coefficient of restitution between the surface and ball is e . The distance of the point where ball strikes the surface second time from the point of projection is . (ใ€–v^2 ๐‘ฃ๐‘ ๐‘–๐‘›2๐œƒใ€—โกใ€–(1+ใ€— e^2))/๐‘” (ใ€–v^2 ๐‘ฃ๐‘ ๐‘–๐‘›2๐œƒใ€—โกใ€–(1+ใ€— e^4))/๐‘” (ใ€–v^2 ๐‘ฃ๐‘ ๐‘–๐‘›2๐œƒใ€—โกใ€–(1+ใ€— e^3))/๐‘” (ใ€–v^2 ๐‘ฃ๐‘ ๐‘–๐‘›2๐œƒใ€—โกใ€–(1+ใ€— ๐‘’))/๐‘”

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