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Chapter 9: Parametric Graphing
In the example, ignore all
forces except gravity. For
initial velocity v
and angle q,
0
the position of the ball as a
function of time has
horizontal and vertical
components.
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.
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
terms of
t
.
Horizontal: xt1=tv
cos(q)
0
Vertical: yt1=tv
sin(q)
0
Gravity constant: g=9.8 màsec
Define the vertical component vector as
xt2
and
yt2
and define the horizontal
component vector as
Change the graph style of
¼ (thick). Change the graph style of
to À (path).
à
and
/
xt2
yt2
xt1
yt1
- m # # #
# " " b
6 &
(/ ' /)
and
in
xt1
yt1
30
- Π( & E
#
D
2
N
1à2(gt
)
2
8
#
0
- f
xt3
and
yt3
.
. / ) $
à
xt3
yt3
to
$ ) ) $ $ $
) )
& > D
25
- e =
30
& E T
`
25
9
F
- e I
2
# - g
#
1
#
1
0
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