The trajectory of a projectile in a vertical plane is \( \mathrm{P}...
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The trajectory of a projectile in a vertical plane is
\( \mathrm{P} \) \( y=\alpha x-\beta x^{2} \), where \( \alpha \) and \( \beta \) are constants and \( x \& y \)
W. are respectively the horizontal and vertical distances of the projectile from the point of projection. The angle of A. . projection 8 and the maximum height attained \( \mathrm{H} \) are respectively given by:
[JEE Main-2021 (March)]
(a) \( \tan ^{-1} \alpha, \frac{\alpha^{2}}{4 \beta} \)
(b) \( \tan ^{-1} \alpha, \frac{4 \alpha^{2}}{\beta} \)
(c) \( \tan ^{-1}\left(\frac{\beta}{\alpha}\right), \frac{\alpha^{2}}{\beta} \)
(d) \( \tan ^{-1} \beta, \frac{\alpha^{2}}{2 \beta} \)
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