Physics Two Dimensional Motion Question 158

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, is

Options:

A) $ 90{}^\circ , $ B)$ 60{}^\circ $ C) $ 30{}^\circ $ D)$ 45{}^\circ $

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Answer:

Correct Answer: B

Solution:

Horizontal distance covered should be same for the time of collision. $ 400,\cos \theta =200\text{ or }\cos\theta =\frac{1}{2}\text{ or }\theta =60^\circ $



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