Two inclined planes OA and OB having inclination (with horizontal) 30^(@) and 60^(@) respectively , intersect each other at O. A particle is projected from point 'P' with velocity u=10sqrt(3) m/s along a direction perpendicu lar to plane OA. If the particle strikes plane OB perpendicu lar at Q. Calcu late: Time of flight of the particle:

Two inclined planes OA and OB having inclination (with horizontal) 30^

1.	Two inclined planes OA and OB having inclination (with horizontal) 30^(@) and 60^(@) respectively , intersect each other at O. A particle is projected from point 'P' with velocity u=10sqrt(3) m/s along a direction perpendicu lar to plane OA. If the particle strikes plane OB perpendicu lar at Q. Calcu late: Time of flight of the particle:
Answer» 8s 6s 4s 2s Solution : Now for x-axis `v_(x)=v_(x)+a_(x)T` `0=10sqrt(3)-gsin 60^(@)T` Since, `s_(x)=u_(x0T+(1)/(2)a_(x)T^(2)` `s_(x)=(10sqrt(3).T-(1)/(2)g sin 60^(@)T^(2))` Along y-axis `OP=(1)/(2)g cos 60^(@)T^(2)` `(h)/(OP)=sin 30^(@)`