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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
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B
3:5:7
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C
5:3:7
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D
5:7:3
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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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