Duration: 5:24

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A particle is projected from the ground with velocity \( u \) at angle \( \theta \) with horizontal. The horizontal range, maximum height and time of flight are \( R, H \) and \( T \) respectively. They are given by
\[
R=\frac{u^{2} \sin 2 \theta}{g} \quad H=\frac{u^{2} \sin ^{2} \theta}{2 g} \quad \text { and } \quad T=\frac{2 u \sin \theta}{g}
\]
Now keeping \( u \) fixed, \( \theta \) is varied from \( 30^{\circ} \) to \( 60^{\circ} \), then
-(A) \( R \) will first increase then decrease, \( H \) will increase and \( T \) will decrease
(B*) \( R \) will first increase then decrease while \( H \) and \( T \) both will increase
(C) \( R \) will decrease while \( H \) and \( T \) both will increase
-(D) \( R \) will increase while \( H \) and \( T \) both will also increase
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