Balloon Motion Activity
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Materials
Balloons, string, stop watch and meter sticks.
Procedure:
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String should be stretched across the room to another point in the room.
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Using a 2-3-inch section of straw tape the straw to the balloon. Inflating the balloon at this point might be helpful.
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Measure the circumference of the balloon and record.
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With the help of your partner attach the balloon to the string.
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As close as possible start time and release the balloon.
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Measure the time it takes the balloon to stop. Record.
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- the distance it takes the balloon to stop. Record.
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Repeat following trials with different circumferences.
Data
Trial
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Time (second)
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Distance (meters)
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1
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2
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3
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4
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Calculations
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With the graph paper provided, setup a graph of each trial.
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Calculate the average velocity of each trial.
Analysis Questions
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In your own words, why does the balloon move?
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Does the balloon move after the balloon is deflated, in your own words, why yes or no?
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Velocity
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In your own words, what is speed.
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How might you calculate speed?
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What might be the difference between the balloons average speed and its instantaneous speed?
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Is there a difference between a speed and velocity?
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What part of your graph might indicate speed?
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Acceleration
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In your own words, describe acceleration.
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What part of your graph might indicate acceleration?
Graphing (place all graphs here)
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)
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