HP 38g Graphing Calculator - Manual (Page 94)

Parametric Plot the two sets of equations below that describe the paths of
Example two particles over time. Look at the interval between f = 0 and
i= 6.5 seconds.
I 5e/eci Parametric
■ [SETUP-SYMB]
Check that
Radians is set.
1 SYMB I 16 Q 3 0 ® (Z1 3
0 {{T}} [ enter I
4
0
{{T}} 0
5
fENTERl
2 0 H0 ■ [ te ] 0 2 0
{{T}} flNTE^
G0 3 0
0
{{T}} [ enter I
W 0 2
PLOT
*PftMMETIilC SVMEnUC SETUP»
ANGLE MEASURE:
CHUDSE ANGLE MEASURE
^PARAMETRIC SVMRDLIC MIEH^^
-'XKT> = 16/'3-8-^3*T
^Yl(T)=4»T-5
^X2<T>=2*SIH<ir/2«T)
^ Y2 < T > =-3*C0S < ir^ 2»T :>
Yl
\
1
T: 0 CS.3333i3i3i3
X
.
3,-sj liSMilip
Use the Numeric view to determine whether the particles ever
collide (that is, whether their paths cross at the same moment
in time). Compare the T values when X1=X2 and when Y1=Y2.
You can tell from the plot that the points of intersection are at
or near X=2 and Y=3. If T is the same at these points, then the
points collide.
NUM
Search for XI =2 and X2=2.
Move the highlight to
Xl=l.866666.
T
XI
Yl
X2
!§
1
1.1
1.3
1.3
3.3
3.333333
Z.666666
3.H
3.133333
-l.B
-l.H
-1
-.6
-.3
.3
1.303113
1.3753?fi
3
1.375376
1.303113
1.7B3013
1.86666666666
wiiiiaB»IM««Maa№gigTdiBHI—
You can see that X2=2 when T=1. Use ZOOM to home in on
Xl=2.
3-30 Plotting and Exploring Functions