Hp 38g Graphing Calculator Manual do Utilizador descarregar pdf (Página 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}} [enterI

4 0 {{T}} 0 5 fENTERl

2 0 H0 ■ [te] 0 2 0

{{T}} flNTE^

G0 3 0

0 {{T}} [enterI

W 02

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 :>

\ 1

T: 0 CS.3333i3i3i3

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

1.3

3.3

3.333333

Z.666666

3.H

3.133333

-l.B

-l.H

-1

-.6

-.3

1.303113

1.3753?fi

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

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