I was reading the July 2010 issue of Physics Education, one of IoP journals, and came across this rather interesting, seemingly-simple projectile motion problem. Supposedly, this was taken out of Eric Mazur's "Peer Instruction" book. I will post the figure here:
The question is rather simple based on that figure. If the battleship simultaneously fires two shells at enemy ships and follow the shown parabolic trajectories, which ship gets hit first?
The question gives 4 possible answers: (1) Ship A, (2) Both at the same time, (3) Ship B, and (4) Need more information.
The level of physics needed to solve this is first year undergraduate intro physics, or even AP physics. It is how you approach the problem to solve this that may require a little bit of sophistication. See if you can find the answer, and I'll post mine in another blog post later... :)