Physics Two Dimensional Motion Question 178

Question: An aircraft moving with a speed of 250 m/s is at a height of 6000 m, just overhead of an anti. Aircraft gun. If the muzzle velocity is 500 m/s, the firing angle q should be:

Options:

A) $ 30{}^\circ $ B)$ 45{}^\circ $ C) $ 60{}^\circ $ D)$ 75{}^\circ $

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Answer:

Correct Answer: C

Solution:

[c] $ 500\cos \theta =250\Rightarrow \cos \theta =\frac{1}{2}\text{ or }\theta ,\text{=},,\text{60}{}^\circ \text{.} $