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A person can jump safely from a height of 2m on the earth. On a planet where acceleration due to gravity is $2.45 {ms}^{- 2}$ , the maximum height from which he can jump safely

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16m

64m

answer is A.

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Detailed Solution

$V = \sqrt{2 gh}$

for safe jump 'V' should be same.
$∴ h \propto \frac{1}{g}; \frac{h_{2}}{h_{1}} = \frac{g_{1}}{g_{2}} \Rightarrow \frac{h_{2}}{h_{1}} = \frac{9.8}{2.45} \Rightarrow h_{2} = 8 m$

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