Texas Instruments TI-84 Plus Guide Book

Chapter 4: Parametric Graphing 133
Chapter 4:
Chapter 4:Chapter 4:
Chapter 4:
Parametric Graphing
Parametric GraphingParametric Graphing
Parametric Graphing
Getting Started: Path of a Ball
Getting Started: Path of a BallGetting Started: Path of a Ball
Getting Started: Path of a Ball
Getting Started is a fast-paced introduction. Read the chapter for details.
Graph the parametric equation that describes the path of a ball hit 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?
Ignore all forces except gravity.
For initial velocity v
o
and angle q, the position of the ball as a function of time has
horizontal and vertical components.
Horizontal: X1(t)=tv
0
cos(q) Vertical: Y1(t)=tv
0
sin(q)N gt
2
The vertical and horizontal vectors of the ball’s motion also will be graphed.
Vertical vector:
Horizontal vector:
Gravity constant:
X2(t)=0
X3(t)=X1(t)
g=9.8 m/sec
2
Y2(t)=Y1(t)
Y3(t)=0
1
2
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Texas Instruments TI-84 Plus Specifications

General

Battery type	AAA
Power source	Battery
Number of batteries supported	4
Type	Graphing
Cover	No
Form factor	Pocket
Control type	Buttons
Product color	Black
USB port	Yes
USB 2.0 ports quantity	1
Digits	- digits
Display number of lines	8 lines
Display number of characters	16
RAM capacity	0.024 MB
ROM capacity	0.480 MB
Storage media type	-