A particle is projected from the ground with velocity \( u \) at an...
A particle is projected from the ground with velocity \( u \) at angle \( \theta \) with horizontal. The horizontal range,
\( \mathrm{P} \)
maximum height and time of flight are \( R, H \) and \( T \)
W
respectively. They are given by, \( R=\frac{u^{2} \sin 2 \theta}{g} \),
\[
H=\frac{u^{2} \sin ^{2} \theta}{2 g} \text { and } T=\frac{2 u \sin \theta}{g} \text {. }
\]
Now keeping \( u \) as fixed, \( \theta \) is varied from \( 30^{\circ} \) to \( 60^{\circ} \). Then,
(1) \( R \) will first increase then decrease, \( H \) will increase and, \( T \) will decrease
(2) \( R \) will first increase then decrease while \( H \) and \( T \) both will increase
(3) \( R \) will decrease while \( H \) and \( T \) will increase
(4) \( R \) will increase while \( H \) and \( T \) will increase
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