A fighter jet is flying horizontally at a certain altitude with a speed of 200 $\mathrm{ms}^{-1}$. 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 q will be ............ °.
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Solution
Both should have same horizontal component of velocity
$\begin{aligned} & 200=400 \cos \theta \\ & \theta=60^{\circ}\end{aligned}$
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