A ball is projected with velocity \( v_{0} \) and at an angle of projection \( \alpha \). After ...

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A ball is projected with velocity \( v_{0} \) and at an angle of projection \( \alpha \). After what time is the ball moving at right angles to the initial direction?
(a) \( \frac{v_{0}}{g} \operatorname{cosec} \alpha \)
(b) \( \frac{2 v_{0}}{g} \operatorname{cosec} \alpha \)
(c) \( \frac{v_{0}}{g} \sec \alpha \)
(d) \( \frac{2 v_{0}}{g} \sec \alpha \)
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