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3rd Equation of Motion

A number of b...

Question

A number of bullets are fired in all possible directions with the same initial velocity $u$ . The maximum area of ground covered by bullets is

A

π {(\frac{u^{2}}{g})}^{2}

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B

π {(\frac{u^{2}}{2 g})}^{2}

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C

π {(\frac{u}{g})}^{2}

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D

π {(\frac{u}{2 g})}^{2}

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Solution

The correct option is A $π {(\frac{u^{2}}{g})}^{2}$
A bullet fired at angle $45^{\circ}$ will fall maximum away, and all other bullets will fall with this bullet fired at $45^{\circ}$ .
$R_{m a x} = \frac{u^{2}}{g}$
Maximum area covered $= π (R_{m a x})^{2} = π {(\frac{u^{2}}{g})}^{2}$ .

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