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 cover:

• A. $\pi \frac{v^2}{g}$
• B. $\pi \frac{v^4}{g^2}$
• C. ${\pi }^2\frac{v^4}{g^2}$
• D. ${\pi }^2\frac{v^2}{g^2}$

Answer 1

Answer: (B)

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

Basic of Projectile motion

maximum horizontal range of a

projectile is at angle $={45}^0$

range at this angle

$\Downarrow$

$\frac{V^2}{g}\Rightarrow$ radius of circle of

maximum area

therefore

$Area=\frac{\pi V^4}{g^2}$