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Published byFelix David Osborne Modified over 5 years ago

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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: Δx or Δx 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/s 2

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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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Average Velocity on an x-t graph

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v av vs v inst 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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Acceleration vs. Time Graph The slope means NOTHING The area between the curve and the horizontal axis is the change in velocity a t -10 m/s/s 10 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/s 2 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

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