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Two inclined planes OA and OB intersect ...

Two inclined planes OA and OB intersect in a horizontal plane having their inclinations `alpha and beta` with the horizontal as shown in figure. A particle is projected from point P with velocity u along a direction perpendicular to plane OA. The particle strikes plane OB perpendicular at Q.

If `alpha = 30^@, beta = 30^@ ` and a = 4.9 m , the initial velocity of projection is

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