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A ball is projected from the floor of a ...

A ball is projected from the floor of a long hall having a roof height of `H = 10 m`. The ball is projected with a velocity of `u = 25 ms^(–1)` making an angle of `theta = 37^(@)` to the horizontal. On hitting the roof the ball loses its entire vertical component of velocity but there is no change in the horizontal component of its velocity. The ball was projected from point A and its hits the floor at B. Find distance AB.

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The correct Answer is:
`20 (1+ sqrt(2)) m`
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