Preview Of Parametric Graphing - Texas Instruments TI-89 Manual Book

Preview of Parametric Graphing

Graph the parametric equations describing the path of a ball kicked at an angle (q) of 60¡
with an initial velocity (v
Ignoring air resistance and other drag forces, what is the maximum height of the ball and
when does it hit the ground?
Steps
1. Display the
MODE
For mode, select
Graph
.
PARAMETRIC
2. Display and clear the Y= Editor.
Then define the horizontal
component
xt1(t) = v
Enter values for v and q.
0
TI-89: T ype T p 2 X , not
T 2 X .
TI-92 Plus: Type T p X , not T X .
Enter a ¡ symbol by typing either
2 " or 2 I 2 1 . This ensures a
number is interpreted as degrees,
regardless of the angle mode.
3. Define the vertical component
yt1(t) = v t sin q – (g/2)t
0
Enter values for v ,q, and g.
0
4. Display the Window Editor.
Enter Window variables
appropriate for this example.
You can press either D or ¸ to
enter a value and move to the next
variable.
5. Graph the parametric equations
to model the path of the ball.
6. Select . Then move the
Trace
cursor along the path to find the:
¦
value at maximum height.
y
¦
value where the ball hits the
t
ground.
128 Chapter 7: Parametric Graphing
) of 15 meters/sec. The gravity constant g = 9.8 meters/sec
0
TI-89
Keystrokes
3
dialog box.
B 2
¸
¥ #
ƒ 8 ¸
¸
.
t cos q
0
1 5 T p
2 X 6 0
2 "d ¸
¸
1 5 T p
2 .
2 W 6 0
2 "d | c
9 . 8 e 2 d
T Z 2 ¸
¥ $
0 D 3 D
. 0 2 D · 2 D
2 5 D 5 D
· 2 D 1 0 D
5
¥ %
...
B or A
as necessary
›
³
TI-92 Plus
Keystrokes
3
B 2
¸
¥ #
ƒ 8 ¸
¸
1 5 T p
X 6 0
2 "d ¸
¸
1 5 T p
W 6 0
2 "d | c
9 . 8 e 2 d
T Z 2 ¸
¥ $
0 D 3 D
. 0 2 D · 2 D
2 5 D 5 D
· 2 D 1 0 D
5
¥ %
...
B or A
as necessary
2
.
Display
xt1(t)=15tù cos(60¡)