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 $
