A projectile is projected with velocity of $25\, m / s$ at an angle $\theta$ with the horizontal. After t seconds its inclination with horizontal becomes zero. If $R$ represents horizontal range of the projectile, the value of $\theta$ will be : [use $g =10 m / s ^{2}$ ]
A projectile is projected with velocity of $25\, m / s$ at an angle $\theta$ with the horizontal. After t seconds its inclination with horizontal becomes zero. If $R$ represents horizontal range of the projectile, the value of $\theta$ will be : [use $g =10 m / s ^{2}$ ]
- [JEE MAIN 2022]
- A
$\frac{1}{2} \sin ^{-1}\left(\frac{5 t^{2}}{4 R}\right)$
- B
$\frac{1}{2} \sin ^{-1}\left(\frac{4 R }{5 t ^{2}}\right)$
- C
$\tan ^{-1}\left(\frac{4 t ^{2}}{5 R }\right)$
- D
$\cot ^{-1}\left(\frac{ R }{20 t ^{2}}\right)$
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