Kinematics Question 641

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}}}}{\text{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 Maximum possible area of the circle

$ = \pi {{( \frac{{{\text{v}}^{\text{2}}}}{\text{g}} )}^{2}}=\frac{\pi {{v^{4}}}}{{{g^{2}}}}[ \text{Here r=}\frac{{{\text{v}}^{\text{2}}}}{\text{g}} ] $



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