Vectors

1
Vectors
0

• For next time
• Read Chapter 2, Sections 1 - 3
• Homework Chapter 1, Problems 24, 55
• SP 5

2
Trig review (right triangle)
0
a 2a
26o
3
Problem 1 (of only two)
0
cozy
4
Problem 2 (of only two)
0
tan q 3/4
q tan-1(3/4)
5
What (the heck) is Science?
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• Working model of the universe around us

6
What (the heck) is Science?
0

• Working model of the universe around us

• Model must be based on observation
• A useful model allows us to make predictions

7
Can you predict the future?
0

• Pixies work - if you dont want to make
  predictions
• When will it be high tide on April 29?

8
Can you predict the future?
0

• Pixies work - if you dont want to make
  predictions
• When will it be high tide on April 29?
• Which bulb will be brightest?

9
What (the heck) is Science?
0

• Working model of the universe around us
• Model must be based on observation
• A useful model allows us to make predictions
• Science is a process - not a collection of facts

10
0
11
0
12
0
13
Vectors
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• Vector quantities have both magnitude and
  direction
• displacement
• velocity
• force

• Scalar quantities have only magnitude
• temperature

14
These represent equivalent vectors
0
15
Represent the magnitude of a vector by the length
of the arrow.
0
2A
-A
16
0
17
0
18
0
19
0
20
Vector addition (tail to head)
0


C
21
Problem
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• In the morning, you walk 3 blocks east and 6
  blocks north. In the afternoon, you walk 2
  blocks east and 1 block south. What is your total
  displacement (distance and direction)?

d2 52 52
d
tan q 5/5 1
q
22
The infamous 55
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• A football player runs the pattern given by
  vectors A, B, and C. Find the magnitude and
  direction of the resultant vector?

B 15
350
A 5
C 18
23
The infamous 55
0

• A football player runs the pattern given by
  vectors A, B, and C. Find the magnitude and
  direction of the resultant vector?

B 15
350
A 5
C 18
q
24
Vector subtraction
0
25
Vector subtraction
0
26
Vector subtraction
0
?