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A stone falls freely under gravity. It covers distances $h_{1}$, $h_{2}$ and $h_{3}$ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between $h_{1}$, $h_{2}$ and $h_{3}$ is
Explanation
$\because h = \frac{1}{2}gt^{2} \therefore h_{1} = \frac{1}{2} g(5)^{2} = 125$ $h_{1} + h_{2} = \frac{1}{2}g(10)^{2} = 500 \Rightarrow h_{2} = 375$ $\therefore h_{1} + h_{2} + h_{3} = \frac{1}{2}g(15)^{2} = 1125 \Rightarrow h_{3} = 625$ $h_{2} = 3h_{1}$, $h_{3} = 5h_{1}$ or $h_{1} = h_{2}/3 = h_{3}/5$