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• What kind of motion happens when an object rolls down a hill?
Distance, Speed and Time Graphs
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The distance (position) vs. time graph
• Motion graphs are an important tool used to show the relationships between distance, speed, and time.
A runner can learn more about performance by studying data and graphs.
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The distance vs. time graph
• Distance vs. time data tells you the runner’s distance at different points in time.
• The runner is at 50 meters after 10 sec., 100 meters after 20 sec. and 150 meters at 30 sec.
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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).
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3.2 The distance vs. time graph
• To graph data, you put distance on the vertical (y) axis .
• Time goes on the horizontal (x) axis.
• Data are plotted between x and y axis.
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Reading a graph
• A graph can give you an accurate answer even without doing the experiment.
• Students doing an experiment measured the speed of the car at 20, 40, 60, and 80 cm positions.
• They want to know the speed at 50 cm.
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Slope
• You can use distance vs. time graphs to quickly compare the speeds of different objects.
A steeper line on a distance vs. time graph means a faster speed.
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Distance vs. time graphs
• The distance vs. time graph has distance on the y-axis and time on the x-axis.
Which runner has the fastest constant speed?
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Speed vs. time graphs
These graphs each show the same event.What differences do you notice?
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Do these graphs display the same data?