Let the particle strike the plane AP’ at time t after the initial projection time and let it strike at P.
The angluar displacement made by the plane is (β-ωt).
The horizontal distance travelled = L + l × cos(β-ωt).
The time t will be obtained by dividing the horizontal distance by horizontal velocity.
t = ( L + l × cos(β-ωt) ) / ( v0 cosθ )
Vertical distance is given by
l × sin(β-ωt) = v0 sinθ × t - (1/2) × g × t2
velocity of the particle w.r.t point of impact just before striking is given by