Impulse question was quite easy to make a mistake on I reckon..
P = 0.4mg, I got that as well, except theyre not going to give you 7 marks for rearraging F + P = N
So that ones wrong.
As with the impulse question, it wanted the angle of projection. The balls comes in at 30i and is projected at root(5^2 + 25^2???), so you wanted the angle between the resultant and the 30i, not the angle between 5 and 25, I think
Err, why do you assume 2 cases? You know which way the friction acts. Its not a 'maybe' ...
Friction acts opposite to motion. In the default case, it acts opposite to the motion of the ladder, i.e. to the right. However, when P becomes strong enough to break equilibrium, friction acts opposite to it, i.e. to the left.