1
[©2008 RJ Bieniek]
M
OTION IN
O
NE
D
IMENSION
Learning Objectives
After you complete the homework associated with this
lecture, you should be able to:
•
Understand the physical meaning of
position
,
displacement
,
velocity
, and
acceleration
in a one
dimensional situation.
•
Give precise mathematical definitions of these kinematic
quantities.
•
Analyze and predict the motion of objects using this
understanding.
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[©2008 RJ Bieniek]
Position, Displacement, and Distance
Position:
Where something is located.
!
Generally in reference to some coordinate system.
!
This gives us the opportunity of assigning it a
numerical value
x
.
!
The function
x
(t)
tells us the evolution of position,
i.e., the location of the particle as a function of time.
Notation:
x
0
=
x(t
0
)
is not
x
0
=
0
x
1
=
x(t
1
)
x
2
=
x(t
2
)
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[©2008 RJ Bieniek]
!
We must give the
x
axis a positive direction so that
we can properly assign positive and negative values
for a 1D (one dimensional) position.
Note:
x
2
and x
3
are the same distance from the
origin, but are in different “directions”
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[©2008 RJ Bieniek]
Displacement: A change in position
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 Spring '09
 Physics, Derivative, Acceleration, Work, Velocity, RJ Bieniek

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