Physics Two Dimensional Motion Question 189

Question: A large number of bullets are fired in all directions with the same speed v. What is the maximum area on the ground on which these bullets will spread?

Options:

A) $ \frac{\pi v^{2}} {g} $

B)$ \frac{\pi v^{4}}{g^2} $

C) $ {\pi^2} \frac{v^{2}}{g^{2}} $

D)$ \frac{\pi^{2} v^{4}} {g^{2}} $

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Answer:

Correct Answer: B

Solution:

[b] Maximum possible horizontal range $= \frac{v^2}{g} $

Maximum possible area of the circle $=\pi (\frac{v^2}{g})^2= \frac{\pi v^4}{g^2} $