This preview shows page 1. Sign up to view the full content.
Position Functions in One Dimension
In order to describe the motion of an object we must be to determine the position of the object at
any point in time. In other words, if we are given the problem of describing the motion of an
object, we will have reached a solution when we find a position function,
x
(
t
) , which tells us the
position of that object at any moment in time. (Note that "
t
" is usually understood to be a
time
variable,
so in writing the position function "
x
" as "
x
(
t
) " we are explicitly indicating that
position
is a function of
time.
) There are a variety of functions that can correspond to the position
of moving objects. In this section we will introduce some of the more common ones that tend to
arise in basic physics problems.
Examples of Position Functions
1.
x
(
t
) =
c
, where
c
is a constant. As you might expect, an object that has this as its position
function isn't going anywhere. At all times its position is exactly the same:
c
.
2.
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '10
 DavidJudd
 Physics

Click to edit the document details