A large number of bullets are fired in all directions with the same speed v from ground. What is the maximum area on the ground on which these bullets will spread (height of gun from ground assume neg

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A large number of bullets are fired in all directions with the same speed v from ground. What is the maximum area on the ground on which these bullets will spread (height of gun from ground assume negligible)-

TestHub · Accepted Answer

The maximum range R ma x ​ of a projectile fired with speed v is R ma x ​ = g v 2 ​ when fired at 4 5 ∘ . The bullets spread in a circular area with radius R ma x ​ . The maximum area is A = π R ma x 2 ​ = π ( g v 2 ​ ) 2 = g 2 π v 4 ​ .

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