A fighter jet is flying horizontally at a certain altitude with a speed of 200 m s - 1 . When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle θ with the h

Question

A fighter jet is flying horizontally at a certain altitude with a speed of 200 m s - 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 - 1 , the value of θ will be _____ ° .

TestHub · Accepted Answer

In order to hit, horizontal velocity of both moving object should be same, V 1 = V 2 cos θ ⇒ 200 = 400 cos θ ⇒ cos θ = 1 2 ⇒ θ = 60 °

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