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, 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 ..... °.

Question

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, 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 ..... °. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Both should have same horizontal component of velocity 200=400 cos θ θ=60°

Q. A fighter jet is flying horizontally at a certain altitude with a speed of 200ms−1. 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 400m/s, the value of θ will be ..... ∘.

Both should have same horizontal component of velocity 200=400cosθ θ=60∘

Both should have same horizontal component of velocity
$200 = 400 cos θ$
$θ = 6 0^{\circ}$