Version 1:

A man starts from rest at the top of a 10 meter tall slide (10 meters off of the ground). The slide goes down at a 45 degree angle, approaches ground level, and then curves up so that the slide makes a 40 degree angle with the ground, ending 2.5 meters above the ground, pointing upward. How far will the man travel when he flies off the slide at a 40 degree angle, from 2.5 meters above flat ground? (Where should we put a pool for him to land in, relative to the end of the slide?) Assume a coefficient of friction between man and waterslide to be 0.1. Assume that the ground is perfectly level. Knowing the mass of the man should not be necessary, but if it helps, you can say he is 80kg.

(You will have to approximate the energy lost from friction. Just try to make a convincing argument that you are making a good approximation.)

To increase your degree of difficulty and possible points, account for this: his prankster friends hold a 4 kg banana pie stationary at the very end of the slide for his face to collide with as he takes off into the air. So instead of finding where the man will land, find where will the system of man+pie land?