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Chapter 7: Parametric Graphing 127
07PARAM.DOC TI-89/TI-92 Plus: Parametric Graphing (English) Susan Gullord Revised: 02/23/01 10:56 AM Printed: 02/23/01 2:13 PM Page 127 of 6
Chapter 7:
Parametric Graphing
Preview of Parametric Graphing.......................................................... 128
Overview of Steps in Graphing Parametric Equations ..................... 129
Differences in Parametric and Function Graphing ........................... 130
This chapter describes how to graph parametric equations on the
TI
-
89 / TI
-
92 Plus.
Before using this chapter, you should be familiar
with Chapter 6: Basic Function Graphing.
Parametric equations consist of both an
x
and
y
component, each
expressed as a function of the same independent variable
t
.
You can use parametric equations to model projectile motion. The
position of a moving projectile has a horizontal (
x
) and vertical
(
y
) component expressed as a function of time (
t
). For example:
The graph shows the path of the projectile over time, assuming
that only uniform gravity (no drag forces, etc.) is acting on the
projectile.
7
x(t) = v
0
t cos
q
y(t) = v
0
t sin
q
– (g/2)tñ
(x(t),y(t))