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Intro to Kinematics -Position -Distance -Displacement

Intro to Kinematics -Position -Distance -Displacement. Mrs. Coyle. Motion . How would you describe the motion of an object? Motion is relative. Position is compared to an origin. Coordinate system or a reference frame. Linear Motion: Motion in One Dimension. Motion Diagram.

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Intro to Kinematics -Position -Distance -Displacement

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  1. Intro to Kinematics -Position -Distance -Displacement Mrs. Coyle

  2. Motion • How would you describe the motion of an object? • Motion is relative. • Position is compared to an origin. • Coordinate system or a reference frame.

  3. Linear Motion: Motion in One Dimension

  4. Motion Diagram • How can you visualize the motion of an object? t=1.5 sec t=1.0 sec t=0.5 sec t=0 sec

  5. Particle Model . . . . . t=1.0s t=1.5s t=0 t=0.5s

  6. Position Vector Y axis o x=2m x=1m Position, (m)

  7. Position Vectors Y axis o x=2m x=1m Position, (m)

  8. Position Vectors o d1=1m d2=2m Position, (m)

  9. Vectors and Scalars • Scalars  Magnitude (size) • Vectors  Magnitude and Direction

  10. Distance and Displacement • Distance: (Scalar) • Displacement: (Vector)

  11. Displacement (Dd)- change in position.(Note: Dx can also be used as a symbol). Dd o d1=1.5m d2=2m Position, d (m)

  12. Example 1: A train after traveling on a straight line north for 1hour, is located 20km from the train station. After 1 additional hour of traveling in the same direction the train is 40km from the train station. • Draw a particle model. • Draw the position vectors for the two positions. • Draw the displacement vectors from t=1h to t=2h. • What is the total distance traveled?

  13. Example 2: A jogger jogging south for 5min is 1km from the start. She then jogs 0.5 km north for 5min. 1) Draw a particle model. 2) Draw the position vectors. 3) Draw the displacement vectors from t=5min to t=10min. 4) What is the total distance traveled?

  14. Example of Position vs Time Graph Position, (m) • At what time did the object return to the origin? • What is the distance travelled and displacement at point A? 20.0 10.0 A o 0.5 1.0 1.5 2.0 Time, (s)

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