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Graphing Motion: Position, Speed & Time
1.
2. The position vs. time graph
• Motion graphs are an important tool
used to show the relationships between
position, speed, and time.
3. Graphs show relationships
• A good way to show a
relationship between two
variables is to use a
graph.
• A graph makes it easy to
see if changes in one
variable cause changes in
the other variable (the
effect).
4. The position vs. time graph
• To graph data, you
put position on the
vertical (y) axis .
• Time goes on the
horizontal (x) axis.
• Data are plotted
between x and y axis.
Copyright reserved. 2012 The E Tutor
5. The position vs. time graph
• An object moving
at a constant speed
always creates a
position vs. time
graph that is a
straight line.
6. The position vs. time graph
• Two variables may have:
– a strong relationship,
– a weak relationship,
– or no relationship at all.
7.
8.
9.
10.
11.
12. Slope
• You can use
position vs. time
graphs to quickly
compare the
speeds of different
objects.
13. Slope
• The “steepness” of a line is
called its slope.
• Visualize a triangle with the
slope as the hypotenuse.
• The rise is equal to the
height of the triangle.
• The run is equal to the
length along the base of the
triangle.
14. Slope
• The slope is the ratio
of the “rise” (vertical
change) to the “run”
(horizontal change).
• The slope is
therefore a distance
divided by a
time, which equals
speed.
15. Speed vs. time graphs
• The position vs.
time graph has
position on the
y-axis and time
on the x-axis.
Which runner has the fastest constant speed?
16. Speed vs. time graphs
These graphs each show the same event.
What differences do you notice?