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, a bullet is fired from the gun, at an angle θ with the horizontal, to hit the jet. If the bullet speed is 400 m/s, the value of θ will be ___________ °. Numerical answer type. Work it out, then open the answer.

Answer: 60. To hit the jet, the bullet's horizontal velocity must equal the jet's. 400cos θ = 200 ⇒ cos θ = 1/2 θ = 60°

A fighter jet is flying horizontally at a certain altitude with a… | JEE Main 2022 (26 Jun, Shift 1)

Q11JEE Main 2022 · 26 JUN · SHIFT 1Medium

Relative Velocity in Two Dimensions

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, a 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 ___________ $^\circ$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 60

To hit the jet, the bullet's horizontal velocity must equal the jet's.
$400\cos\theta = 200 \Rightarrow \cos\theta = \frac{1}{2}$
$\theta = 60^\circ$

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