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Texas Instruments TI-86 User Manual

Page 269

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Chapter 19: Applications

257

19APPS.DOC TI-86, Chap 19, US English Bob Fedorisko Revised: 02/13/01 2:41 PM Printed: 02/13/01 3:05 PM Page 257 of 18

19APPS.DOC TI-86, Chap 19, US English Bob Fedorisko Revised: 02/13/01 2:41 PM Printed: 02/13/01 3:05 PM Page 257 of 18

ᕡ In

Param

graphing mode, select

E(t)=

from the

GRAPH

menu and enter the equations in the

equation editor as shown. This pair of equations plots the path of the water stream when the
valve is installed at a height of 0.5 meters.

»

xt1=t

(2g(2

N

0.5))

yt1=0.5

N

(g

¹

t

2

)

à

2

ᕢ Move the cursor to

xt2=.

Press - – ' 1

1

, and press b to recall the contents of

xt1

into

xt2

. For

xt2

, change the valve height (which is

0.5

) to

0.75

meters. Do the same with

yt1

and

yt2

.

ᕣ Repeat step 3 to create three more pairs of equations. Change the valve height to

1.0

meters for

xt3

and

yt3

,

1.5

meters for

xt4

and

yt4

, and

1.75

meters for

xt5

and

yt5

.

ᕤ Select

WIND

from the

GRAPH

menu and set the window variable values as shown.

tMin=0

xMin=0

yMin=0

tMax=

(4

à

g)

xMax=2

yMax=2

tStep=0.01

xScl=0.5

yScl=0.5

ᕥ Select

FORMT

from the

GRAPH

menu and set

SimulG

graph

format.

ᕦ Select

GRAPH

from the

GRAPH

menu to plot the trajectory of

the water jets from the five specified heights.

Which height seems to create the longest water stream?

If necessary, select ALL

N

from the equation editor
menu to deselect all
functions. Also, turn off all
stat plots.

To clear the menus from the
graph screen, press

:

.