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