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2.Motion in Straight Line
medium
A window is $50\,cm$ long. A stone is falling from a height of $40\,cm$ above the window. It crosses the window in
A
$\frac {3}{7}\,s$
B
$\frac {2}{7}\,s$
C
$\frac {1}{7}\,s$
D
$\frac {4}{7}\,s$
Solution

$\mathrm{t}=\sqrt{\frac{2 \mathrm{h}}{\mathrm{g}}} \Rightarrow \mathrm{t}_{2}-\mathrm{t}_{1}=\sqrt{\frac{2 \times 90}{980}}-\sqrt{\frac{2 \times 40}{980}}$
$\sqrt{\frac{9}{4 a}}-\sqrt{\frac{4}{49}}=\frac{3}{7}-\frac{2}{7}=\frac{1}{7} s$
Standard 11
Physics