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Motion. Motion diagrams?A series of images of a moving object that records its position after equal time intervals.At restSpeeding upSlowing downConstant speedLink to Motion Diagram AppletLink to Another Motion Diagram Site. The Particle Model. Replace an object with a single point at the ce
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1. Motion Position—separation of an object from a fixed reference point. Is a vector measurement.
+= to the right or up
- = to the left or down
Distance—requires no reference point. Is a scalar measurement.
Instantaneous position
Displacement—change in position. Symbolized as delta d.
2. Motion Motion diagrams—A series of images of a moving object that records its position after equal time intervals.
At rest
Speeding up
Slowing down
Constant speed
Link to Motion Diagram Applet
Link to Another Motion Diagram Site
3. The Particle Model Replace an object with a single point at the center of the body.
You can use this model effectively if:
The size of the object is much less than the distance it moves.
Internal motions can be ignored.
4. Coordinate System What is your frame of reference?
Where is zero?
Origin—zero point.
You need to keep horizontal and vertical displacements on separate axes.
Position/displacement vectors on a motion diagram.
Can there be a negative position? Can there be a negative time?
5. Velocity Average velocity=displacement/time
+ = to the right or up
- = to the left or down
Velocity vs. Speed
Position-time graph
Slope=average velocity
Instantaneous velocity=slope of the tangent line to the point in question.
6. Position Time Graph
7. Acceleration a=change in velocity over change in time
Units
Positive or negative—What do these signs mean?
Deceleration
Average Acceleration
8. Acceleration Velocity vs. Time graph
Slope=average acceleration
Slope of the tangent line to the graph=instantaneous acceleration.
Area under the curve=the total displacement.
Velocity/Time Graph Applet
Velocity/Time, Position/Time, and Acceleration/Time graph applets
Instantaneous Acceleration
Uniform or Constant Acceleration
Link to PHET Moving Man Simulation
Equations
Acceleration due to gravity
9. Velocity Time Graph
10. Acceleration Due to Gravity Lowercase g
-9.8 meters per second squared
-32 feet per second squared
Sample Problems
11. Acceleration Equations vf=vI + at
Vf2=vi2 + 2ad
d=vit +1/2 at2
d=1/2(vf + vi)t