A little blob of poo, aptly named Stinky Bean, wants to go the distance in the poo-flinging contest. And it's up to you to help him. Grab the poo-flinging ring and sling him around until you're at top speed, then release him. If you've got the right angle, he'll go far. Once Stinky Bean hits the ground, watch the Scatmonkey (also appropriately named) Power Meter. When it fills up (it'll say "Go!"), click it, and Scatmonkey will arrive to deliver a power-boosting punch to Stinky Bean.
(My best score so far is 80,166 feet with a top sped of 433 mph.)