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A particle is projected from surface of the inclined plane with speed \( u \) and at an angle \( \theta \) with the horizontal. After some time the particle collides
\( \mathrm{P} \) elastically with the smooth fixed inclined plane for the first time and subsequently moves in vertical
W direction. Starting from projection, find the time taken by the particle to reach maximum height. (Neglect time of collision).
(1) \( \frac{2 u \cos \theta}{g} \)
(2) \( \frac{2 u \sin \theta}{g} \)
(3) \( \frac{u(\sin \theta+\cos \theta)}{g} \)
(4) \( \frac{2 u}{g} \)
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