I love it when people apply physics calculations to scenarios in movies or in computer games (a few Angry Birds calculations are out there). The calculation for where the best release point is for Tarzan to achieve maximum distance is actually, well, not so straight forward. Check out this review, and then check out the original article posted on ArXiv.org at http://arxiv.org/abs/1208.4355v1.
"When Tarzan leaps from a swinging rope, when should he let go to jump furthest?"
Via Sakis Koukouvis