A particle projected from \( O \) and moving freely under gravity strikes the horizontal plane p...

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A particle projected from \( O \) and moving freely under gravity strikes the horizontal plane passing through \( O \) at a distance \( R \) from starting point \( O \) as shown in the figure. Then:
(1) there will be two angles of projection if \( R gu^{2} \)
(2) there will be more than two angles of projection if \( R gu^{2} \)
(3) the two possible angles of projection are complementary
(4) the product of the possible times of flight from \( O \) to \( A \) is \( 2 R / g \)
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