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Q. A fighter jet is flying horizontally at a certain altitude with a speed of $200\, ms ^{-1}$. When it passes directly overhead an anti-aircraft gun, bullet is fired from the gun, at an angle $\theta$ with the horizontal, to hit the jet. If the bullet speed is $400\, m / s$, the value of $\theta$ will be ..... $^{\circ}$.

JEE MainJEE Main 2022Motion in a Plane

Solution:

Both should have same horizontal component of velocity
$200=400 \cos \theta$
$\theta=60^{\circ}$