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Putnam 1947 A4

  • Session A

A coast artillery gun can fire at every angle of elevation between 0∘0^{\circ} and 90∘90^{\circ} in a fixed vertical plane. If air resistance is neglected and the muzzle velocity is constant ( =v0=v_0 ), determine the set HH of points in the plane and above the horizontal which can be hit.

Dataset text AI-MO AoPS. Quoted with source.

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