A certain town has a 20 m tall windmill with a tip of one of the blades painted red. Over a period of 30 seconds, that red tip moves from 20 m from the ground down to 2 m from the ground and back up to 20 m away. a) Write the equation that models the red tip's distance from the ground in terms of time. b) What is the equation of the axis of the equation, and what does it represent? c) The owner of the town's mini-golf course would like to install a to-scale version of the windmill on hole 18 of his course that is 2 m tall. Write an equation to model the distance between the red tip of the small windmill and the ground? d) A golf ball has a diameter of 4.3 cm. If the red-tipped blade on the small windmill is as close to the ground as possible, will it block the golf ball?