A Firing Squad

Classical Mechanics Level 2

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

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

Aman Dubey by Aman Dubey , 22, India

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1 solution

Aman Dubey
Apr 10, 2016

Bullets will form a circle with radius equal to their maximum range i.e. r = R m a x = v 2 g . r = R_{max} = \frac{v^2}{g}. So the area of the circle will be A r e a = π ⋅ R m a x 2 = π ⋅ v 4 g 2 Area = \pi\cdot R_{max}^2 = \pi\cdot \frac{v^4}{g^2}

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