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JEE Main 202226 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
26 June
Shift
Morning Shift
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2022 · 26 June · Morning Shift · Physics · Motion in Two Dimensions

A fighter jet is flying horizontally at a certain altitude with a...

A fighter jet is flying horizontally at a certain altitude with a speed of 200ms−1200{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 400ms−1400m{s}^{- 1}, the value of θ\theta will be _____ °°.A fighter jet is flying horizontally at a certain altitude with a speed of 200 ms ^ - 1 . When it passes directly

Correct answer

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Step-by-step solution

A fighter jet is flying horizontally at a certain altitude with a speed of 200 ms ^ - 1 . When it passes directly

In order to hit, horizontal velocity of both moving object should be same,

V1=V2cosθ{V}_{1} = {V}_{2}cos\theta ⇒200=400cosθ⇒ 200 = 400cos\theta

⇒cosθ=12⇒θ=60°⇒ cos\theta = \dfrac{1}{2} ⇒ \theta = 60 °

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