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Cornell Notes 2-5 Graphing Motion

Cornell Notes 2-5 Graphing Motion. February 19, 2016 Page 135 & 137. Linear and Non-Linear Graphs. Linear graphs go in a straight line. They represent relationships with the formula y=kx k is the slope of the line. You can figure out slope by dividing change in y over change in x.

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Cornell Notes 2-5 Graphing Motion

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  1. Cornell Notes 2-5Graphing Motion February 19, 2016 Page 135 & 137

  2. Linear and Non-Linear Graphs • Linear graphs go in a straight line. • They represent relationships with the formula y=kx • k is the slope of the line. You can figure out slope by dividing change in y over change in x (10-5)/(2-1)=5/1=5

  3. Non-Linear Graphs • Non-linear graphs go in curves • They usually have formulas like y=kx2

  4. The Rectangle Method • You can use the rectangle method to make predictions. • Just find the key term on the axis, draw a straight line up to the graph, and another straight line to the other axis. • If you need to, you can extend the graph in either direction to help make your prediction

  5. Position vs Time Graphs • In a position vs time graph, time is on the x and position on the y.

  6. Speed vs Time Graphs • In a Speed vs time graph, time is on the x and speed on the y.

  7. When Something is Not Moving PvT is a Horizontal Line SvT is a Horizontal Line at 0 Car isn’t moving, so its speed is 0 m/s Car stays at 5 m

  8. When Something is Moving at a Constant Speed PvT is a Straight Line SvT is a Horizontal Line Car moves 2 m every second! Car’s speed is 2 m/s

  9. When Something is Moving Backwards at a Constant Speed PvT is a Straight Line Going Down SvT is a Horizontal Line Car moves 2 m every second, but backwards! Car’s speed is 2 m/s

  10. Speed vs Speed Faster Objects Have Steeper Slopes Faster Objects Are Higher Up 2 m/s 2 m/s 1 m/s 1 m/s

  11. Changing Speeds (Speeding Up) PvT Curves! At Constant Acceleration, SvT is a Straight Line Slope Gets Steeper! Speed is increasing by 1 m/s every second

  12. Changing Speeds, Slowing Down PvT Curves SvT is Now Going Backwards Car moving 1 m/s slower every second Still moving forward, but slower every second

  13. Slopes on PvT Graphs • The slope on a PvT graph shows the speed of the object. • To calculate slope, do the following • Pick two points on the graph • Subtract the y-values of the points, the point on the right going first (y2-y1) • Subtract the x-values of the points, the point on the right going first (x2-x1) • Divide the y’s by the x’s (Rise over run)

  14. Example Y Goes Up 20 X Goes Up 40 (120 - 60)  (80 - 40) = 60  40 = 1.5 cm/s

  15. Quick Summary for PvT’s • If the line is horizontal, then the object graphed is not moving • If the line is linear, then the object graphed I moving at a constant speed • If the line is non-linear, then the object’s speed is changing • The slope of a PvT graph is the object’s speed • For constant speed, objects with greater speeds have steeper slopes

  16. Quick Summary for SvT’s • If the line is at zero, then the object graphed is not moving • If the line is horizontal, then the object graphed is moving at a constant speed • If the line is straight, then the object’s speed is changing at a constant rate

  17. Story Time!

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