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A stone falls freely such that the dista...

A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first 5 seconds. It remained in air for :-

Text Solution

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The correct Answer is:
13
`s_(nth) = u+g/2 (2n-1)`
For a freely falling body , u = 0
` :. S_(nth) = g/2 (2n-1)`
Distance travelled in first 5s ,
`s= ut +1/2 "gt"^(2) = 0 +1/2 g(5)^(2) = 25/2g`
Given : `s_(nth) = s`
or `g/2 (2n-1) = 25/2 g `
or n = 13 s .
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