Question

# The distance travelled by a body falling freely from rest in $$2nd,3rd$$ and $$5th$$ second of its motion are in the ratio.

A
9:5:3
B
3:5:7
C
5:3:7
D
5:7:3

Solution

## The correct option is A $$9:5:3$$Distance covered in nth second,$$\propto n^2-(n-1)^2$$$$\propto n^2-[n^2+1-2n]$$$$\propto 2n-1$$$$n=2\rightarrow 2(2)-1=3$$$$n=3\rightarrow 2(3)-1=5$$$$n=5\rightarrow 2(5)-1=9$$$$3:5:9$$Physics

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