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Q. A body starts from rest travels a distance $x$ in first two seconds and a distance $y$ in next two seconds. The relation between $x$ and $y$ is

Motion in a Straight Line

Solution:

If particle starts from rest and moves with constant acceleration then in successive equal interval of time the ratio of distance covered by it will be:
$ 1: 2: 5: 7 \ldots \ldots(2 n-1) $
i.e., ratio of $x$ and $y$ will $b 1: 3$ i.e., $\frac{x}{y}=\frac{1}{3} \Rightarrow y=3 x$