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Intro to Kinematics -Position -Distance -Displacement
Mrs. Coyle
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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.
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Linear Motion: Motion in One Dimension
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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
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Particle Model . t=1.0s t=1.5s t=0 t=0.5s
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Position Vector Y axis o x=2m x=1m Position, (m)
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Position Vectors Y axis o x=2m x=1m Position, (m)
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Position Vectors o d1=1m d2=2m Position, (m)
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Vectors and Scalars Scalars Magnitude (size)
Vectors Magnitude and Direction
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Distance and Displacement
Intro to Kinematics Motion in One Dimension Mrs. Coyle Distance and Displacement Distance: (Scalar) Displacement: (Vector)
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Displacement (Dd)- change in position
Displacement (Dd)- change in position. (Note: Dx can also be used as a symbol). Dd o d1=1.5m d2=2m Position, d (m)
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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?
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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?
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Example of Position vs Time Graph
Position, (m) 20.0 10.0 A o 0.5 1.0 1.5 2.0 Time, (s) At what time did the object return to the origin? What is the distance travelled and displacement at point A?
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