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A shell of mass \( 2 \mathrm{~m} \) fired with a speed \( u \) at an angle \( \theta \) to the horizontal explodes at the highest point of its trajectory into two fragments of mass \( m \) each. If one fragment falls vertically, the distance at which the other fragment falls from the gun is given by :
(A) \( \frac{u^{2} \sin 2 \theta}{g} \)
(B) \( \frac{3 u^{2} \sin 2 \theta}{2 g} \)
(C) \( \frac{2 u^{2} \sin 2 \theta}{g} \)
(D) \( \frac{3 \dot{u}^{2} \sin 2 \theta}{g} \)
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