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  4. A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is :-

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Q. 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 :-

NEETNEET 2013Motion in a Straight Line

Solution:

$h _{1}=\frac{1}{2} gt ^{2}=\frac{1}{2} \times 10 \times 5^{2}=125$
$h _{2}=\frac{1}{2} \times 10 \times 10^{2}-\frac{1}{2} \times 10 \times 5^{2}=375$
$h _{3}=\frac{1}{2} \times 10 \times 15^{2}-\frac{1}{2} \times 10 \times 10^{2}=625$
Hence $h _{1}=\frac{ h _{2}}{3}=\frac{ h _{3}}{5}$