 # Motion Graphs.  Position is on the vertical axis  Time is on the horizontal axis  Slope (rise/run or Δy/Δx) = velocity  A curved graph shows acceleration.

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Motion Graphs

 Position is on the vertical axis  Time is on the horizontal axis  Slope (rise/run or Δy/Δx) = velocity  A curved graph shows acceleration

position time position time positive velocitynegative velocity

Positive acceleration (smile!) Negative acceleration (frown!)

 Describe the motion represented by this position-time graph.

Motion Graphs

 Velocity is on the vertical axis  Time is on the horizontal axis  Slope is acceleration  Area between the graph and the time-axis is displacement  Use triangles and rectangles to find the area

velocity time A ball thrown up in the air (initial +v), slowing down, stopping at it’s peak (zero velocity), and coming back down (-v). Constant negative acceleration.

Determine the displacement from 2 to 5 seconds. velocity time 50 m/s 5 sec 2 sec 20 m/s

acceleration time (sec) 2 m/s 2 -4 m/s 2 502080 A car is moving with a constant acceleration of +2 m/s 2 for 20 seconds and then travels at a constant velocity for 30 seconds and then travels with a constant acceleration of -4 m/s 2 for 30 seconds.

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