1. More Practice: Distance, Speed, and Unit Conversion

2. More Practice: Distance, Speed, and Unit Conversion

3. More Practice: Distance, Speed, and Unit Conversion

4. More Practice: Distance, Speed, and Unit Conversion

5. More Practice: Distance, Speed, and Unit Conversion

6. More Practice: Distance, Speed, and Unit Conversion

7. More Practice: Distance, Speed, and Unit Conversion

8. Vectors: Displacement and Velocity: Learning Goals
The student will be able to distinguish between distance and displacement and speed and velocity. (B2.1)
The student will be able to distinguish between constant, instantaneous, and average speed and give examples of each involving uniform and non-uniform motion . (B3.1)

9. Vectors: Displacement and Velocity
SPH4C

10. Vectors
A vector quantity has both magnitude and

11. Vectors
A vector quantity has both magnitude and direction.

12. Vectors A vector quantity has both magnitude and direction.
The direction is given in square brackets after the units:

13. Vectors A vector quantity has both magnitude and direction.
The direction is given in square brackets after the units:
e.g., 5 km [West]

14. Vectors
Examples of vectors:
displacement
velocity

15. Vectors
Examples of vectors:
displacement
velocity
acceleration

16. Vectors Examples of vectors: displacement velocity acceleration force
etc.

17. Displacement
Displacement is how far an object is from its starting position and is not simply distance travelled + a direction.

18. Displacement
Displacement is how far an object is from its starting position and is not simply distance travelled + a direction.
E.g., the distance travelled here by a driver commuting from Manhattan to N.J. was 14.5 km even though the displacement was only 2.7 km [North].

19. Displacement
Example: Selma walks 2 m [East] and then 1 m [West]. What was her distance travelled?
What was her displacement?

20. Displacement
Example: Selma walks 2 m [East] and then 1 m [West]. What was her distance travelled?
What was her displacement?
Distance travelled: d = 2 m + 1 m = 3 m

21. Displacement
Example: Selma walks 2 m [East] and then 1 m [West]. What was her distance travelled?
What was her displacement?
Distance travelled: d = 2 m + 1 m = 3 m
Displacement:
2 m
1 m

22. Displacement
Example: Selma walks 2 m [East] and then 1 m [West]. What was her distance travelled?
What was her displacement?
Distance travelled: d = 2 m + 1 m = 3 m
Displacement:
She is 1 m [East] of her original starting position.
2 m
1 m
1 m

23. Displacement
2 m
We can represent [East] as the positive direction and [West] as the negative direction:
1 m
1 m

24. Displacement
2 m
We can represent [East] as the positive direction and [West] as the negative direction:
= 2 m [East] + 1 m [West]
= + 2 m – 1 m
1 m
1 m

25. Displacement
2 m
We can represent [East] as the positive direction and [West] as the negative direction:
= 2 m [East] + 1 m [West]
= + 2 m – 1 m
= + 1 m
1 m
1 m

26. Displacement
2 m
We can represent [East] as the positive direction and [West] as the negative direction:
= 2 m [East] + 1 m [West]
= + 2 m – 1 m
= + 1 m
= 1 m [East]
1 m
1 m

27. Directions
It is conventional to represent the following directions as positive:
forward

28. Directions
It is conventional to represent the following directions as positive:
forward
right

29. Directions
It is conventional to represent the following directions as positive:
forward
right up

30. Directions
It is conventional to represent the following directions as positive:
forward
right up
North
East

31. Velocity
Velocity is similarly not simply speed + a direction.

32. Velocity
Velocity is similarly not simply speed + a direction.

33. Velocity
Velocity is similarly not simply speed + a direction.

34. Velocity
Example: Selma walks 2 m [East] and then 1 m [West] in 3 s. What was her average speed?
What was her average velocity?

35. Velocity
Example: Selma walks 2 m [East] and then 1 m [West] in 3 s. What was her average speed?
What was her average velocity?

36. Velocity
Example: Selma walks 2 m [East] and then 1 m [West] in 3 s. What was her average speed?
What was her average velocity?

37. Instantaneous Velocity
Average velocity is rarely calculated for an object changing direction. It makes more sense to talk about the instantaneous velocity, which is the speed + the direction at that particular instant.

38. Instantaneous Velocity
Average velocity is rarely calculated for an object changing direction. It makes more sense to talk about the instantaneous velocity, which is the speed + the direction at that particular instant.

39. Instantaneous Velocity
Assuming Selma walked at constant speed, what was her instantaneous velocity at:
1.5 s?
2 s?
2.5 s?

40. Instantaneous Velocity
Assuming Selma walked at constant speed, what was her instantaneous velocity at:
1.5 s? 1 m/s [East]
2 s?
2.5 s?

41. Instantaneous Velocity
Assuming Selma walked at constant speed, what was her instantaneous velocity at:
1.5 s? 1 m/s [East]
2 s? 0 m/s (while she is changing direction)
2.5 s? 1 m/s [West]

42. Instantaneous Velocity
Assuming Selma walked at constant speed, what was her instantaneous velocity at:
1.5 s? 1 m/s [East]
2 s? 0 m/s (while she is changing direction)
2.5 s?

43. More Practice More Practice: Displacement and Velocity
and Graphing Motion