A stone falls freely under gravity. It covers distances h1, h2 and h3… | NEET 2013

Q48NEET 2013Easy

Motion Under Gravity

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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Answer: (d)

From rest, distances in equal successive time intervals are in the ratio $1:3:5$ (Galileo's law of odd numbers).
$h_1 = \frac{1}{2}g(5)^2 = 12.5g$ , $h_2 = \frac{1}{2}g(10^2-5^2) = 37.5g$ , $h_3 = \frac{1}{2}g(15^2-10^2) = 62.5g$
So $h_2 = 3h_1$ , $h_3 = 5h_1$ , i.e. $h_1 = \frac{h_2}{3} = \frac{h_3}{5}$ .
So the answer is (d).

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