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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) 2 4 8 6 12 16 10 20 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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**Copy the data chart and construct a VELOCITY vs. TIME Graph**

Velocity Time Graph Elapsed time (seconds) Distance (meters) Velocity (m/s) 0.0 2 4.0 2.0 4 8.0 6 12.0 8 16.0 10 20.0 12 24.0 Copy the data chart and construct a VELOCITY vs. TIME Graph

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**Elapsed time (seconds)**

Data Chart Elapsed time (seconds) Distance (meters) 0.0 4.0 8 8.0 32 12.0 72 16.0 128 20.0 200 24.0 288 What type of motion? Constant Acceleration!

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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 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 object’s 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)

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