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Published byRobert Sawyer Modified over 3 years ago

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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) 00 24 48 612 816 1020 1224 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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Velocity Time Graph Elapsed time (seconds) Distance (meters) Velocity (m/s) 00.0 24.02.0 48.02.0 612.02.0 816.02.0 1020.02.0 1224.02.0 Copy the data chart and construct a VELOCITY vs. TIME Graph

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Data Chart Constant Acceleration! What type of motion? Elapsed time (seconds) Distance (meters) 0.00 4.08 8.032 12.072 16.0128 20.0200 24.0288

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Graph of Data: Constant Acceleration

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Uniform Acceleration : Velocity vs. Time Elapsed time (seconds) Distance (meters) 0.00 4.08 8.032 12.072 16.0128 20.0200 24.0288

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Graph Question What is the magnitude of the objects 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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