JEE Main · 2022 · 26 Jun 2022 · Shift 1 · Kinematics

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A fighter jet is flying horizontally at a certain altitude with a speed of 200 m/s. When it passes directly overhead an anti-aircraft gun, 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 ____°.

Answer: 60

Solution

For the bullet to hit the jet, their horizontal velocity components must be equal (since the jet is moving horizontally). The horizontal component of bullet velocity is

v cos θ = 400 cos θ

. This must equal the jet's speed:

400 cos θ = 200

, giving

cos θ = 0.5

, so

θ = 60°

JEE Main · 2022 · 26 Jun 2022 · Shift 1 · Integer answer

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