Texas Instruments TI-86 - Manual (Page 136)

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 8 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 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?
ᕡ Select Param mode from the mode screen. - m # # #
# " " b
ᕢ Display the equation editor and parametric
equation editor menu. Deselect all
equations and plots (if any are defined).
ᕣ 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)N1à2(gt 2 )
Gravity constant: g=9.8 m àsec 2
ᕤ Define the vertical component vector as
xt2 and yt2 and define the horizontal
component vector as xt3 and yt3 .
6 &
(/ ' /)
30 & > D 25
- Π( & E
#
30 - e =
D 25 & E T 9 `
8 F 2 - e I
#
0 # - g 1 #
- f 1 # 0
ᕥ Change the graph style of xt3 à yt3 to
¼ (thick). Change the graph style of
xt2 à yt2 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.