An airplane flies at height \( h \) at a constant speed \( u \) in ...
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An airplane flies at height \( h \) at a constant speed \( u \) in a straight horizontal line as shown in figure. At the moment, when the plane is directly over a gun, the gun fires a shell, which hits the plane. Find the minimum muzzle velocity of the shell and the correct angle of elevation of the gun at this velocity. Neglect the air resistance.
(1) \( \sqrt{\mathrm{u}^{2}+2 \mathrm{gh}} \) and \( \theta=\tan ^{-1} \sqrt{\frac{2 g h}{u^{2}}} \)
(2) \( \sqrt{u^{2}+2 g h} \) and \( \theta=\tan ^{-1} \sqrt{\frac{u^{2}}{2 g h}} \)
(3) \( \sqrt{u^{2}+2 g h} \) and \( \theta=\sin ^{-1} \sqrt{\frac{2 g h}{u^{2}}} \)
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