Final answer:
When competitive divers curl up their bodies and pull their limbs in during flips, their angular velocities increase due to the conservation of angular momentum. When they fully extend their limbs just before entering the water, their angular velocities decrease.
Step-by-step explanation:
When competitive divers pull their limbs in and curl up their bodies during flips, their angular velocities increase due to the conservation of angular momentum. By reducing their moment of inertia (the resistance to rotation), the divers can spin faster. On the other hand, when they fully extend their limbs just before entering the water, their angular velocities decrease. The increased moment of inertia slows down their rotation.