Graphical Analysis Of Motion

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Graphical Analysis Of Motion

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Presentation transcript:

Graphical Analysis Of Motion

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

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

Graph: Constant Velocity

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

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!

Graph of Data: Constant Acceleration

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

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

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)