A particle is projected at an angle of elevation \( \alpha \) and after \( t \) second, it appea...

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A particle is projected at an angle of elevation \( \alpha \) and after \( t \) second, it appears to have an angle of elevation \( \beta \) as seen from the point of projection. The initial velocity will be
(1) \( \frac{g t}{2 \sin (\alpha-\beta)} \)
(2) \( \frac{g t \cos \beta}{2 \sin (\alpha-\beta)} \)
(3) \( \frac{\sin (\alpha-\beta)}{2 g t} \)
(4) \( \frac{2 \sin (\alpha-\beta)}{g t \cos \beta} \)
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