Calculator User Manual
124
Chapter 9: Parametric Graphing
09PARA.DOC TI-86, Chap 9, US English Bob Fedorisko Revised: 02/13/01 2:27 PM Printed: 02/13/01 3:02 PM Page 124 of 809PARA.DOC TI-86, Chap 9, US English Bob Fedorisko Revised: 02/13/01 2:27 PM Printed: 02/13/01 3:02 PM Page 124 of 8
Preview: Parametric Graphing
Graph the parametric equation that describes the path of a ball kicked at an initial speed of
30 meters per second, at an initial angle of 25 degrees with the horizontal (from ground
level). How far does the ball travel? When does it hit the ground? How high does it go?
Select
Param
mode from the mode screen.
-
m
#
#
#
#
"
"
b
Display the equation editor and parametric
equation editor menu. Deselect all
equations and plots (if any are defined).
Define the path of the ball as
xt1
and
yt1
in
terms of
t
.
Horizontal: xt1=tv
0
cos(
q
)
Vertical: yt1=tv
0
sin(
q
)
N
1
à
2(gt
2
)
Gravity constant: g=9.8 m
à
sec
2
Define the vertical component vector as
xt2
and
yt2
and define the horizontal
component vector as
xt3
and
yt3
.
6
&
(
/
'
/
)
30
&
>
D
25
-
Œ
(
&
E
#
30
-
e
=
D
25
&
E
T
9
`
8
F
2
-
e
I
#
0
#
-
g
1
#
-
f
1
#
0
Change the graph style of
xt3àyt3
to
¼
(thick). Change the graph style of
xt2àyt2
and
xt1
/
yt1
to
À
(path).
.
/
)
$
$
)
)
$
$
$
)
)
In the example, ignore all
forces except gravity. For
initial velocity v
0
and angle
q
,
the position of the ball as a
function of time has
horizontal and vertical
components.