One Dimensional Motion

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One Dimensional Motion

• AP Physics C

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Terms

• Displacement vs. Distance
• Displacement Change in position (vector)
• Distance How far an object has travelled
  (scalar)
• Symbol ?x or ?x
• SI Unit meter, m

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Position
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Terms

• Velocity vs. Speed
• Velocity Rate of the change in position (vector)
• Speed Rate of distance covered (scalar)
• Symbol v or v
• SI Unit meter per second, m/s

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Average Velocity
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Instantaneous Velocity
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Terms

• Acceleration vs. Acceleration
• Acceleration The rate at which velocity changes
  (vector)
• Acceleration The rate at which speed changes
  (scalar)
• Symbol a or a
• SI Unit meters per second per second or meters
  per second squared, m/s/s or m/s2

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Average Acceleration
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Instantaneous Acceleration
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Position vs. Time Graph
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What are the velocities?
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What are the velocities?
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Average Velocity on an x-t graph
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vav vs vinst on an x-t graph
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x-t graph vs motion of a particle
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Instantaneous Velocity on an x-t graph
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Velocity vs. Time Graph

• The slope of a v vs. t graph is the acceleration
• The area between the curve and the horizontal
  axis of a v vs. t graph is the displacement

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Comparison of v-t to a-t graphs
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Instantaneous Acceleration vs Average
Acceleration from a v-t graph
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v-t graph vs motion of a particle
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x-t graph vs motion of a particle with
acceleration
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What are the accelerations and displacements?
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What are the accelerations and displacements?
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Acceleration vs. Time Graph

• The slope means NOTHING
• The area between the curve and the horizontal
  axis is the change in velocity

a
10 s
t
-10 m/s/s
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Important

• Acceleration tells us how fast velocity changes
• Velocity tells us how fast position changes

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Kinematics Equations(accelerated motion)
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Falling Bodies, thrown up objects, and the
y-direction

• All things fall at the same rate (neglecting air
  resistance)
• On earth that rate is 9.80 m/s2
• That rate is an acceleration
• The name of that acceleration is Gravity

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Object moving in y-dir
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Changing Acceleration
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Velocity by Integration
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Position by Integration