The ratio of the distances travelled by a freely falling body in...

The ratio of the distances travelled by a freely falling body in the

{1}^{st}, {2}^{nd}, {3}^{rd}

and

{4}^{th}

second

Options

A $1: 4: 9: 16$
B $1: 3: 5: 7$
C $1: 1: 1: 1$
D $1: 2: 3: 4$

Correct answer

B. $1: 3: 5: 7$

Step-by-step solution

Galileo's law of odd numbers states that the distance covered by a falling object in successive equal time intervals is linearly proportional to the odd numbers. That is, if a body falling from rest covers one unit of distance in the first arbitrary time interval, it covers 3, 5, 7, etc. units of distance in subsequent time intervals of the same length.

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