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A number of bullets are fired in all possible directions with the same initial speed u . The maximum area of ground covered by the bullet is A. If ‘u’ is increased by 41.4%, find % change in area covered (A)

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41.4 %

50%

100%

300%

answer is D.

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Detailed Solution

$A = \frac{π u^{4}}{g^{2}}, A \propto u^{4}$

$\frac{A_{2}}{A_{1}} = {(\frac{u_{2}}{u_{1}})}^{4} = (1.414)^{4} = = (\sqrt{2})^{4} = 4$

Percentage change in $A = (\frac{A_{2}}{A_{1}} - 1) 100 = 300 %$

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