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One Dimensional Motion Review of the basics AP Physics

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Terms Displacement vs. Distance Displacement: Change in position (vector) Distance: How far an object has traveled (scalar)

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Terms Velocity vs. Speed Velocity: Rate of the change in position (vector) Speed: Rate of distance covered (scalar)

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Terms Acceleration vs. Acceleration? Acceleration: The rate at which velocity changes (vector) This could be a change in: This could be a change in: SpeedSpeed DirectionDirection Speed and directionSpeed and direction

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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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Average velocity vs instantaneous velocity on an position – time graph As the two points P1 and P2 get closer, the time frame (∆t) gets smaller and smaller approaching zero. Eventually you are considering a moment in time rather than a period of time. Graphically, you are looking at the slope of a tangent line rather than the slope of the line connecting two points.

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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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Instantaneous Acceleration vs Average Acceleration from a v-t graph As the two points P1 and P2 get closer, the time frame (∆t) gets smaller and smaller approaching zero. Eventually you are considering a moment in time rather than a period of time. Graphically, you are looking at the slope of a tangent line rather than the slope of the line connecting two points.

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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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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 DOWN WATCH THE DIRECTION! The name of that acceleration is Gravitational acceleration

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Thanks! This is a good quick review for kinematics. However, it is just a review not the end all be all of kinematics.

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