A particle is projected from ground at an angle \( \theta \). At a certain instant the velocity ...

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A particle is projected from ground at an angle \( \theta \). At a certain instant the velocity vector \( \vec{v} \) of particle makes an angle \( \alpha \) with horizontal. Choose the correct option(s).
(1) \( \frac{d \vec{v}}{d t}=\vec{g} \)
(2) Modulus of \( \frac{d|\vec{v}|}{d t}=g \sin \alpha \)
(3) Tangential acceleration has magnitude of \( g \sin \alpha \)
(4) Normal acceleration \( =g \cos \alpha \)
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