A particle of mass m is constrained to move along a straight line. A and B are two fixed points on the line at a separation of L. When the particle is at some point P, between A and B, it is acted upon by two forces `vecF_(1)=((6mg)/(L))vecPA \" and \" vecF_(2)=((3mg)/(L))vecPB` At time t=0, the particle is projected from A toward B with a speed of `sqrt(gL)`. At what time \'t\' will the particle reach at B for the first time ?
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