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If a freely falling body covers half of ...

If a freely falling body covers half of its total distance in the last second of its journey, Find its time of fall.

Text Solution

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Suppose t is the time of free fall.
`h=(1)/(2)gt^(2)`…….(1)
`(h)/(2)=(1)/(2)g(t-1)^(2)`…….(2)
Solving 1,2 `t=(2+sqrt(2))S`
Since `2-sqrt(2)` is not acceptable.
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