Final answer:
The minimum speed of water rotating in a vertical circle increases with a larger bucket radius due to the centripetal acceleration being directly proportional to the radius of curvature.
Step-by-step explanation:
The correct answer is A) Increases with a larger bucket radius.
The minimum speed of water rotating in a vertical circle increases with a larger bucket radius. This is because the centripetal acceleration, which is the acceleration towards the center of the circle, is directly proportional to the radius of curvature. In other words, a larger radius of curvature requires a higher speed to maintain the circular motion.