The motion of a swing can be modeled with a sinusoidal function. Timing the swing, Josh records a maximum height in front of the swing of 12 feet at 11 seconds and then a
maximum height of 12 feet at the back of the swing at 19 seconds. The minimum height
of the swing is 2 feet above the ground.
1. Sketch a graph of the sinusoid. Tell what each axis represents, by labeling them.
2. Insert a picture of your hand-drawn graph in the text box below.
3. Write an equation of the sinusoid. Use proper math formatting using the va on the
format menu, or insert a picture of your equation.
4. Predict the height when t = 13 seconds.
5. When is the third time the height of the swing is 4 ft?