Vector and Scalar Notes

1. Bellwork: Page 464 #6
 Set up for Cornell Notes

2. Assignment: Vector - Scalar Cornell Notes
SC.912.P.12.1 Distinguish between scalar and vector quantiti
Scale
4: Extra Credit Extension: Design an
experiment using an everyday physical
activity that will provide data, develop
graphs to analyze vector and scalar
quantities (One page with data chart and
graph. 5-points)
3: I can describe the differences
between vectors and scalars and
when to use them.
2: I can describe the differences
between vectors and scalars
1: I can define vectors and scalars
with help from the textbook.

3. Vector & Scalar Quantities
https://www.youtube.com/watch?v=ihNZlp7iUHE

4. What is a Scalar Quantity?
 Only has magnitude
 Requires 2 things:
1. A value
2. Appropriate units

5. What is a Vector Quantity?
 Has magnitude (size, amount) & direction
 Requires 3 things:
1. A value
2. Appropriate units
3. A direction!

6. Exit Slip: On index card, write your name.
Draw the t-chart and sort the measurements using your
chart
Scalar Vectors
30
mph
30
mph
50o
C50o
C120
lbs
120
lbs
5
Blocks
East
5
Blocks
East
Falls 5
degrees
Falls 5
degrees
2.5
m/s
North
2.5
m/s
North
3pm3pm

8. More about Vectors
 A vector is represented on paper by an arrow
1. the length represents magnitude
2. the arrow faces the direction of motion
3. a vector can be “picked up” and moved on
the paper as long as the length and
direction
its pointing does not change

9. Graphical Representation of a Vector
The goal is to draw a mini version of the vectors to give
you an accurate picture of the magnitude and
direction. To do so, you must:
1. Pick a scale to represent the vectors. Make it simple
yet appropriate.
2. Draw the tip of the vector as an arrow pointing in
the appropriate direction.
3. Use a ruler & protractor to draw arrows for
accuracy. The angle is always measured from the
horizontal or vertical.

10. Understanding Vector Directions
To accurately draw a given vector, start at the second direction
and move the given degrees to the first direction.
N
S
EW
30° N of E
Start on the East
origin and turn 30° to
the North

11. Graphical Representation Practice
 5.0 m/s East
(suggested scale: 1 cm = 1 m/s)
 300 Newtons 60° South of East
(suggested scale: 1 cm = 100 N)
 0.40 m 25° East of North
(suggested scale: 5 cm = 0.1 m)

12. Graphical Addition of Vectors (cont.)
5 Km
3 Km
Scale: 1 Km = 1 cm
Resultant Vector (red) = 6 cm,
therefore its 6 km.

13. Vector Addition Example #1
 Use a graphical representation to solve the
following: A hiker walks 1 km west, then 2
km south, then 3 km west. What is the sum of
his distance traveled using a graphical
representation?

14. Vector Addition Example #1 (cont.)
Answer = ????????

15. Vector Addition Example #2
 Use a graphical representation to solve the
following: Another hiker walks 2 km south
and 4 km west. What is the sum of her
distance traveled using a graphical
representation? How does it compare to hiker
#1?

16. Vector Addition Example #2 (cont.)
Answer = ????????

17. Assignment: Vector - Scalar Cornell Notes
SC.912.P.12.1 Distinguish between scalar and vector quantiti
Scale
4: Extra Credit Extension: Design an
experiment using an everyday physical
activity that will provide data, develop
graphs to analyze vector and scalar
quantities (One page with data chart and
graph. 5-points)
3: I can describe the differences
between vectors and scalars and
when to use them.
2: I can describe the differences
between vectors and scalars
1: I can define vectors and scalars
with help from the textbook.

18. Read Page 473

19. Acceleration
 Speed is the rate of change of position.
 Acceleration is the rate of change of velocity.
 What form of measurement is acceleration, scalar
or vector?
 Hint:

20. Acceleration
• Acceleration is a vector which measures the change in
the velocity of an object.
• It has magnitude and direction.
• This means acceleration could be any of the following
three…
1. a change in speed, the magnitude of the
velocity (from 34 km/h to 67 km/h)
2. a change in direction (from East to North-
East)
3. a change in both speed and direction (from
34km/h East to 12 km/h West)

22. Average Acceleration Equation

23. Acceleration Formula
Acceleration = Velocityf – Velocityi
Time

24. Negative Acceleration
 In physics, acceleration is not always an
increase in velocity. It can also be a decrease
in velocity.
 Even though you might have heard people use
the word deceleration to describe an object
slowing down, this isn’t really proper physics.

25. Negative Acceleration
• We usually visualize speeding up as positive,
and slowing down as negative.
• A positive velocity means it’s going in the
positive direction (like forwards), and a
negative direction is backwards.

26. Practice: Physics to go
 Page 128 #3-6