1. Review of Distance vs Displacement and Velocity vs Speed
Graham Oakley 2015

2. Types of Quantities
Vector – Quantities that includes both magnitude and a direction
Vectors can be drawn
They are represented by arrows
Example: 12 m south
Scalar – Quantities that do not include direction (magnitude only)
Example: 4 seconds

3. Distance vs. Displacement
What two changes help you identify that an object is in motion?
Change in Direction
Change in Speed

4. _______________ is necessary to determine if something is in motion.
Frame of Reference: background that appears to be stationary to a moving object
Earth is the most common frame of reference.

5. How can something appear to be motionless but actually be moving?
If an object has the same frame of reference.
If the object is moving at the same speed.
Examples?

6. Explain how an object can have a zero or negative displacement.
Dist. Vs. Disp.
Distance
Actual path that an object takes
Cannot be negative
Displacement
Straight line from start to finish
Can be negative or zero
Think about your charts made to calculate distance and displacement on the grid.
Explain how an object can have a zero or negative displacement.

7. Distance vs Displacement
Distance is a scalar quantity: direction doesn’t matter
Displacement is a vector
Direction matters
Straight line route from where you started to where you end (as the crow flies)
MUST HAVE A DIRECTION

8. Explain how an object can have a zero or negative displacement.
Dist. Vs. Disp.
Distance
Actual path that an object takes
Cannot be negative
Displacement
Straight line from start to finish
Can be negative or zero
Think about your charts made to calculate distance and displacement on the grid.
Explain how an object can have a zero or negative displacement.

9. What is the Distance traveled?
8 m
6 m
2 m
1 m
d = 8 m + 6 m + 2 m + 1 m
d = 17 m

10. What is the displacement?-
8 m
6 m
2 m
1 m

11. Distance vs. Displacement Examples
Distance= Displacement =
9 m
9 m right
3 m
6 m
Distance= Displacement =
9 m
3 m left
Distance= Displacement =
9 m ?
3 m
6 m

12. Distance versus Displacement
To determine displacement draw a diagram of the path taken
Example: 8 m east, then 6m north, then 2 m east, then 1 m south
Simplify the diagram to a right triangle
Use Pythagorean Theorem to determine the displacement
8 m
6 m
2 m
1 m
8 m
6 m
2 m
1 m
10 m
5 m

13. Range of Values Maximum Displacement occurs when:
The two vectors are pointed in the same direction (0o)
Example:
Displacement = 10 m
Minimum Displacement occurs when:
The two vectors are pointed in the opposite directions (180o)
Displacement= 6 m Right
All other angles will result in a value in between that range.
8 m
2 m
8 m
2 m

14. Example with Word Problems
A turtle crawls 5m north, then 3m east, and then 2 m south in 1000 seconds. What is his distance traveled, displacement, average speed and average velocity?
Givens: t=1000 s
5 m
3 m
2 m

15. Distance vs Displacement
5m +3m +2m = 10 m
Displacement=
a2 + b2 = c2
(3m)2 +(3m)2 = c2
18 m2 = c2
c = 4.2 m Northeast
3 m

16. Speed vs Velocity Speed: Speed is a scalar, need to use distance
Velocity is a vector, need to use displacement