When Bugs falls and hits the ground, flowers and the skeleton bounce up and fall into place. The carrot under the rib cage doesn't fall down, it just appears.
When Bugs Bunny is feeling his carrot under the rib cage bones the carrot is shown on the right side of the rib cage, then it switches to the left side, then back to the right again.
Beaky picks ups Bugs, then Bugs causes Beaky to drop him. Bugs lands in a skeletal remains, and starts to cry. He then realizes that his body is in the ground and pulls himself out. BUT when he pulls himself out, there is no hole. Bugs and Beaky then dance, and Bugs spins Beaky who then spins to where Bugs pulled himself out of the ground. BUT where Bugs pulled himself out there is now a hole (where there had been none just a moment before).