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  • A window is 50cm long. a stone is falling from a height of 40 cm above the window .It crosses the window in

A window is 50cm long. A stone is falling from a height of 40 cm above the window. It crosses the window in

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\begin{aligned} &\text{Speed at the top of window}\\ &v_{1}^{2}-u^{2}=2 \times g \times s\\ &v_{1}^{2}=2 \times 10 \times 40\\ &v_{1}=\sqrt{800}=20 \sqrt{2} \ldots . .(1)\\ \\ &\text{Speed at the bottom of the window}\\ &v_{2}^{2}-v_{1}^{2}=2 \times g \times 50\\ &v_{2}^{2}-800=1000\\ &v_{2}=\sqrt{1800} \ldots . .(2)\\ \end{aligned}

\begin{aligned} &v_{2}=v_{1}+a t\\ &\sqrt{1800}=20 \sqrt{2}+10 t\\ &\frac{(30 \sqrt{2}-20 \sqrt{2})}{10}=t\\ &t=\sqrt{2}=\frac{1}{7} \end{aligned}

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