1. September 10th SWBAT create & analyze position vs. time graphs.
Motion Graphs & Maps
September 10th
SWBAT create & analyze position vs. time graphs.

2. Is Car A or Car B faster? How do you know this?
DO NOW QUESTION
Is Car A or Car B faster? How do you know this?

3. Position vs. Time Graphs
Is Car A or Car B faster?
Car A…
…because it covers more distance in the same amount of time…
…it has a steeper slope

4. September 10th SWBAT create & analyze position vs. time graphs.
Motion Graphs & Maps
September 10th
SWBAT create & analyze position vs. time graphs.

5. Position vs. Time Graphs
Motion graphs are an important tool used to show relationships between variables like position, velocity, acceleration, and time.

6. Slope can be used to calculate velocity.
The slope of a line is sometimes called “rise over run.”
We calculate the slope with the equation.

7. Calculate the slope of Car A…
Find two points.
Set-up formula
Calculate

8. RULES of Motion Graphs:
The steeper line has larger velocity
A straight line means constant velocity

9. 3. A curved line means changing velocity, or acceleration.
Object is slowing down
Object is speeding up

10. Is velocity the same as speed?
Velocity and speed are similar, but there is an important difference…
Velocity is speed with direction.

11. Average vs. Instantaneous velocity
Average velocity – velocity across some amount of time.
Instantaneous velocity – velocity at one INSTANT.

12. Average vs. Instantaneous velocity
Ex: You drive to school at 30 mph for the first five minutes, and 40 mph for the last five minutes.
Instantaneous velocity in minute 3 = …
30 mph
Average velocity for the whole trip = …
35 mph

14. He starts at position…
20 m

15. 2) From 0-1 second, he walks…
0 m in 1 s.

16. 3) His position…
does not change.

17. 4) From 1-3 seconds, he walks…
40 m in 2 s.

18. away from his starting position.
5) He is walking…
away from his starting position.

19. 6) From 3 – 4.5 seconds, he walks…
0 m in 1.5 s.

20. 7) From 4.5 – 6 seconds, he walks…
40 m in 1.5 s.

21. toward his starting position.
8) He is walking…
toward his starting position.

22. Motion Maps
Sometimes we use circles and arrows to compare the motion of two objects.
Long arrows mean fast motion (the object is getting to the position faster)
Short arrows mean slower motion
Arrows can also show direction.

23. Example: Eagle vs. Turtle

24. Motion Maps:
Eagle
Turtle

25. Graph
Time
Distance

26. Constant Velocity Graph
Motion Maps:
Constant Velocity Graph
Time
Distance

27. Draw a Motion Map that Represents these 2 objects:

28. Constant Velocity Graph
Motion Maps:
Constant Velocity Graph
Time
Distance