A boy standing at the top of a tower of $20 \mathrm{~m}$ height drops a stone. Assuming $g=10…

A boy standing at the top of a tower of $20 \mathrm{~m}$ height drops a stone. Assuming $g=10 \mathrm{~ms}^{-2}$, the velocity with which it hits the ground is
  1. $20 \mathrm{~m} / \mathrm{s}$
  2. $40 \mathrm{~m} / \mathrm{s}$
  3. $5 \mathrm{~m} / \mathrm{s}$
  4. $10 \mathrm{~m} / \mathrm{s}$

Solution

Given, $g=10 \mathrm{~ms}^{-2}$ and $h=20 \mathrm{~m}$ We have $\begin{aligned} V & =\sqrt{2 g h} \\ & =\sqrt{2 \times 10 \times 20}=\sqrt{400}=20 \mathrm{~ms}^{-1} \end{aligned}$

Asked in: NEET 2011 (Screening)

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