Level 4
3.
One of the largest sewing machines in the world has a flywheel (which turns as the machine sews) that is 5
feet in diameter. The highest point of the handle at the edge of the flywheel is 9 feet above the ground, and
the lowest point is 4 feet. The wheel makes a complete turn every 2 seconds. Write a model for the height h
(in feet) of the handle as a function of the time t (in seconds) given that the handle is at its lowest point when
t = 0.
