Kinematics Question 610

Question: A plane flying horizontally at a height of 1500 m with a velocity of $ 200\text{ m}{{\text{s}}^{-1}} $ passes directly overhead on antiaircraft gun. Then the angle with the horizontal at which the gun should be fired from the shell with a muzzle velocity of 400 $ \text{m}{{\text{s}}^{-1}} $ to hit the plane, it’s

Options:

A) $ 90{}^\circ $

B)$ 60{}^\circ $

C) $ 30{}^\circ $

D)$ 45{}^\circ $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Horizontal distance covered should be same for the time of coll it’sion.

$ 400\cos \theta =200\text{ or }\text{cos}\theta \text{=}\frac{1}{2}\text{ or }\theta \text{=}\text{60}{}^\circ $



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