How not to shoot a monkey: video analysis of a classic physics problem.
Interesting progression of the shoot-the-monkey problem.
I was also amused to note that the blowgun version of the problem, which I’ve done, is one of the iterations of this as it has become more “sanitized” in textbooks.
http://dsc.discovery.com/tv-shows/mythbusters/videos/dropped-vs-fired-bullet.htm
http://scienceblogs.com/dotphysics/2009/10/09/mythbusters-bringing-on-the-physics-bullet-drop/
Professional analysis
Note that over distance there is an orbital footnote that skews things by a few millseconds, plus the curvature of the Earth minutely skewing the compared vertical distances.
Special relativity tells us there’s no way to know if the gun is fired at the same time the monkey falls. Clearly, this is all nonsense!