1. Motion Diagrams

2. Sometimes we want to look at an object at one point in time – that means its position (x).

3. Example 1: A stationary pool ball on a surface. Any object that is at rest for an instant, occupies only a single position and is indicated with a single dot:

4. If the object stands still for several beats or seconds, indicate it with several dots one above another: This object is not moving for 3 beats of the Metronome or 2 time intervals.

5. If the object stands still for a long time place a circle around one dot:

6. Motion Diagrams of Moving Objects Sometimes we want to observe the movement of objects. We call this change in position  x.  x = X f - X i

7. Example 2: How does a motion diagram show a skateboarder moving down a sidewalk at a constant speed? 1 st There is equal distance between each point. 2 nd This makes each arrow the same length. 3 rd The arrows point in the direction that the skater is moving.

8. What will the motion diagram look like for this X vs t graph? Draw it above the line provided!

9. Example 3: The Tortoise and the Jack-a-lope were having a race. Make an x-t graph of the motion diagram.

12. Since the arrows for the rabbit are 4 times longer than those of the tortoise, the rabbit runs four times faster than the tortoise.

13. Dot Alignment What does it mean when 2 dots line up in the same position on the x axis?

14. Dot Alignment It means that the Jackalope reached that position after one time interval, and the tortoise reached the same position after 4 time intervals have passed.

15. 1) Starting Position (Initial Position) 2) Ending Position (Final Position) 3) Distance Traveled 4) Number of Intervals (seconds, min., hours) 5) Number of Beats (metronome) 6) Velocity or Speed Comparison 7) Direction of Motion Written descriptions of Motion Diagrams include some or all of the following:

16. What info does this diagram give us? Give a Written Description

17. What information can we get from this this Diagram? Give a Written Description

18. What info does this diagram give us? Give a Written Description -50 meters30 m 0

19. What info does this diagram give us? Give a Verbal Description

20. Compare the Motion of A & B with a written description and a Motion Diagram A. B. 30 meters 25 meters

21. Brad’s Car Mike’s Car a) Brad and Mike decide to race their cars. They start the race at Mike’s house, which is 200m down the street from Brad’s house. Draw a motion diagram for the two cars when they are both at the starting line, ready to begin the race. X

22. Brad’s Car Mike’s Car b) Mike drives his car with a constant speed of 20 m/s and Brad drives his car at a constant speed of 25 m/s. Draw a motion diagram for both cars when they are moving toward Brad’s house (X). X

23. Brad’s Car Mike’s Car c) When Brad reaches his house he does not wait for Mike, but turns around and drives back to Mike’s house. Draw a motion diagram for the case where Brad drives toward Mike’s house, while Mike is still driving toward Brad’s house. X

24. Brad’s Car Mike’s Car c) When Brad reaches his house he does not wait for Mike, but turns around and drives back to Mike’s house. Draw a motion diagram for the case where Brad drives toward Mike’s house, while Mike is still driving toward Brad’s house. X

25. A dog sees a squirrel. From the motion diagram below, tell what movements the dog’s uses to try to catch the squirrel. 25 meters20 15105

26. Make an x vs t graph of Angela’s Motion

28. t (hour) Draw a motion diagram of the graph below.

29. Calculate the slope of the line. Make a motion diagram of the graph. Motion Diagram:

30. Draw a motion diagram for these two objects (A & B).