9 - A Ferris wheel is 250 ft. in diameter with its lowest point
8 ft. off the ground. Once all the passengers have been loaded, the
wheel makes one full rotation counterclockwise in 3.5 min. Suppose
that two children are seated at the lowest point on the wheel and
are the last passengers to be loaded. Choose a coordinate system
with the origin at ground level below the center of the wheel. a.
Write a model representing the children's horizontal position x (in
feet) at a time t min after the ride starts. b. Write a model
representing the children's height y (in feet) above ground level,
t min after the ride starts. c. Describe the children's position 2
min into the ride.