5.
Rope Swing Problem: Zoey is at summer camp. One day she is swinging on a rope tied to a tree branch, go
back and forth alternately over land and water. Nathan starts a stopwatch. At time x = 2 seconds, Zoey is at one
her swing, at a distance y = -23 ft from the riverbank (see figure below). At a time x = 5 seconds, she is at the othe
of her swing, at a distance y = 17 ft from the riverbank. Assume that while she is swinging, y varies sinusoidally wi
Write an equation and graph 2 cycles of the function (plot points).
20 A
16-
12
0
$ 10 12 14
x
-4-
-8-
Y =
-12-
-20
y=-23-y=12
Riverbank
River

Y=?