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An elevator without a ceiling is ascending up with an acceleration of `5 ms^-2.` A boy on the elevator shoots a ball in vertical upward direction from a height of 2 m above the floor of elevator. At this instant the elevator is moving up with a velocity of `10 ms^-1` and floor of the elevator is at a height of 50 m from the ground. The initial speed of the ball is `15 ms^-1` with respect to the elevator. Consider the duration for which the ball strikes the floor of elevator in answering following questions. (`g=10 ms^-2`)
4. The maximum separation between the floor of elevator and the ball during its flight would be
A. 12 m
B. 15 m
C. 9.5 m
D. 7.5 m

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Correct Answer - C
At maximum separation, their velocities are same
`:. 25--10t=10+5t`
or `t=1s`
Maximum separation =`2+S_2-S_1`
`=2+[25xx1-5xx(1)^2]-[10xx1+2.5(1)^2]`
`=9.5m`

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