First slide

Projectile motion

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

Moderate

A

$π {(\frac{u^{2}}{g})}^{2}$
B

$π {(\frac{u^{2}}{2 g})}^{2}$
C

$π {(\frac{u}{g})}^{2}$
D

$π {(\frac{u}{2 g})}^{2}$

Solution

A bullet fired at angle 45^o will fall maximum away, and all other bullets will fall with this bullet fired at 45^o.
$R_{max} = \frac{u^{2}}{g}$
$Maximum area covered = π {(R_{max})}^{2} = π {(\frac{u^{2}}{g})}^{2}$

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