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The distances traveled during equal inte...

The distances traveled during equal intervals of time by a freely falling body from rest are in the ratio

A

A)`1:3:5:7….`

B

`B)2:4:6:8……`

C

C)`1:4:9:25…..`

D

`D)1:9:25:49…….`

Text Solution

Verified by Experts

The correct Answer is:
A
We have, `S_(n)=u+(g)/(2)(2n-1)`
`S_(1)=0+(g)/(2)(2-1)`
`S_(1)=(g)/(2)`
`S_(2)=(g)/(2)(4-1)=(3g)/(2)`
`S_(3)=(g)/(2)(6-1)=(5g)/(2)`
i.e, `S_(1):S_(2):S_(3)=1:3:5`
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