Time vs' Position Graphs

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Time vs. Position Graphs

• Representing One-Dimensional Motion Graphically

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Time vs. Position Graphs

• Details the location of an object, relative to
  the reference point, over a specified period of
  time
• Time is Independent variable (x-axis)
• Position is Dependent variable (y-axis)

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Time vs. Position Graph 1
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Time vs. Position Graph 1

• What is the position of swimmer 1 at 20 sec?
• How far ahead of swimmer 2 is swimmer 1 at 20
  sec?
• What is the displacement of swimmer 1 from 10-40
  sec?
• Which swimmer is faster? How can you tell?

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Velocity on a Time vs. Position Graph

• Units of the slope?
• m/s
• Slope of a time vs. position graph tells the
  velocity

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Slope of Time vs. Position Graphs
Describe the motion of the object
On a t vs. x graph that is curved, the slope of
the TANGENT LINE tells the INSTANTANEOUS VELOCITY
Whats happening to the slope of the curve?
On a t vs. x graph that is curved, the slope of
the TANGENT LINE tells the INSTANTANEOUS VELOCITY
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What can be determined from a time vs. position
graph?

• Instantaneous Position
• Where is the object at a specific moment in time?
• Displacement
• The change in position over a period of time
• Velocity
• What is the object currently doing?

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