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← JEE Main 2022 · 26 Jun · Shift 1
PhysicsInteger+4 / -1Question 51 of 90

JEE Main 2022 · 26 Jun · Shift 1, Physics question 51

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

Answer and worked solution

Official answer: 60

Keep pace with the jet. The bullet's horizontal velocity must equal the jet's: 400cos⁡θ=200400\cos\theta=200, so θ=60°\theta=60°.

Answer: 60