Graphical Analysis Of Motion

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Graphical Analysis Of Motion
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Aims Graphical Analysis

• To measure the motion of an object
• Construct a graph of distance vs. time
• Calculate the speed and acceleration of an object
  in free fall, linear acceleration, and variable
  acceleration.
• Compare the resulting graphs of each type of
  motion

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Data Chart Constant Velocity
Elapsed time (seconds) Distance (meters)
0 0
2 4
4 8
6 12
8 16
10 20
12 24
Copy the data chart and construct a Distance vs.
Time Graph Answer on the next SLIDE
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Graph Constant Velocity
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Velocity Time Graph
Elapsed time (seconds) Distance (meters) Velocity (m/s)
0 0.0 0.0
2 4.0 2.0
4 8.0 2.0
6 12.0 2.0
8 16.0 2.0
10 20.0 2.0
12 24.0 2.0
Copy the data chart and construct a VELOCITY vs.
TIME Graph
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Data Chart
Elapsed time (seconds) Distance (meters)
0.0 0
4.0 8
8.0 32
12.0 72
16.0 128
20.0 200
24.0 288
Constant Acceleration!
What type of motion?
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Graph of Data Constant Acceleration
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Uniform Acceleration Velocity vs. Time
Elapsed time (seconds) Distance (meters)
0.0 0
4.0 8
8.0 32
12.0 72
16.0 128
20.0 200
24.0 288
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Graph Question

• What is the magnitude of the objects total
  displacement after 4 seconds
• What is the average speed after 3 seconds?

8m
V d/t V 8m/3s V 2.66 m/s
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Summary

• Distance and time measurements can be used to
  describe the velocity and acceleration
• The Shape of the Distance vs. Time determines the
  type of motion
• Rest Straight line parallel to time axis
• Constant Speed Straight line on a slope
  (magnitude of the speed)
• Constant Acceleration Curved line
• The Shape of the Velocity vs. Time determines the
  type of motion
• Rest Straight line on the time axis
• Constant Speed Straight line parallel to the
  Time axis
• Constant Acceleration Straight line on a slope
  (magnitude of the Acceleration)