A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is v, the total area around the fountain that gets wet is :

Engineering

Physics

Projectile Motion

Question

$π \frac{v^{2}}{g^{2}}$

$π \frac{v^{2}}{g}$

$π \frac{v^{4}}{g^{2}}$

$\frac{π}{2} \frac{v^{4}}{g^{2}}$

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$R_{\max} = \frac{v^{2}}{g} \sin 2 θ = \frac{v^{2}}{g}$

area = πR²

$= π \frac{v^{4}}{g^{2}}$