TI -82 Manual Book page 207

5. Press s to graph the equations and watch closely as they are
plotted. Notice that the ball and the passenger on the ferris wheel
appear to be closest near where the paths cross in the upper right
quadrant of the ferris wheel.
6. Press p. Change the viewing
portion of the graph.
Tmin = 1
Tmax = 3
Tstep = .03
7. Press r. After the graph is plotted, press ~ to move near the point
on the ferris wheel where the paths cross. Note the values of
T .
8. Press † to move to the curve of the ball. Note the values of
is unchanged). Notice where the cursor is located. This is the position
of the ball when the person on the ferris wheel passes the intersection.
Did the ball or the person reach the intersection first?
Using TRACE , you can, in effect, take "snapshots" in time to explore the
relative behavior of two objects in motion.
WINDOW
Xmin = 0
Xmax = 23.5
Xscl = 10
to concentrate on this
Ymin = 10
Ymax = 25.5
Yscl = 10
X
X and
Applications 14-13
, Y , and
Y ( T