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A juggler projects a ball upward in a ro...

A juggler projects a ball upward in a room of height `H=20m`.Ball's projection speed was such that it can just reach the ceiling.Now the ball is projected with twice the previous velocity.If ball return to hand of the juggler after time `t=(N-4sqrt(3))sec`,then the value of `N` is [Assume collision with roof is perfectly elastic] , `g=10m/s^(2)`

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