the plank is uniform
Assuming the plank is uniform means the weight of the plank acts at its centre of mass: i.e. halfway along the plank.
the plank is a rod
Assuming the plank is a rod means its width can be ignored.
the man is a particle
Assuming the man is a particle means all his weight acts at the point at which he stands.
state assumption you have made in your calculations and comment on the validity of each assumption
that the ball behaves as a particle
that acceleration due to gravity remains constant over the distance fallen