1.

A stone falls freely from rest from aheight `h` and it travels a distance `h//2` in the last second. The time of journey isA. `sqrt(2)-1`B. `2+sqrt(2)`C. `sqrt(2)+sqrt(3)`D. `sqrt(3)+2`

Answer» Correct Answer - B
`h=1/2"gt"^2 " "......(i)`
`h/2=1/2g(t-1)^2 " ".........(ii)`
`1/4"gt"^2=1/2g(t-1)^2`
`t/sqrt2=t-1`
`t(1-1/sqrt2)=1`
`t=sqrt2/(sqrt2-1)xx(sqrt2+1)/(sqrt2+1)`
`t=sqrt2(sqrt2+1)`
`t=2+sqrt2`


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