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QJEEM22Ph1024: JEE Main 2022 Physics - Class 11 JEEM22Ph1024 Solution: A fighter jet is flying horizontally at a certain altitude with …

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\theta with the horizontal, to hit the jet. If the bullet speed is 400 m/s, the value of θ\theta will be ___________ ∘^\circ .

Step-by-Step Verified Solution

JEE Main 2022 (Online) 26th June Morning Shift Physics - Motion in a Plane Question 40 English Explanation
To hit the jet both should have same horizontal component of velocity.

To hit the jet

amp;400cos⁡θ=200amp;⇒ cos⁡θ=12amp;⇒ θ=60∘\begin{aligned}&400 \cos \theta=200 \\\\&\Rightarrow \ \cos \theta=\frac{1}{2} \\\\&\Rightarrow \ \theta=60^{\circ}\end{aligned}

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