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Subtracting Vectors A – B = ?. Example Problem What is 30 m/s north minus 15 m/s east?

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Presentation on theme: "Subtracting Vectors A – B = ?. Example Problem What is 30 m/s north minus 15 m/s east?"— Presentation transcript:

1 Subtracting Vectors A – B = ?

2 Example Problem What is 30 m/s north minus 15 m/s east?

3 Example Problem What is 30 m/s north minus 15 m/s east? Question: How many vectors are there in this problem?

4 Example Problem What is 30 m/s north minus 15 m/s east? Question: How many vectors are there in this problem?

5 Words  Math What is 30 m/s north minus 15 m/s east?

6 Mathematically A – B = ? Words  Math

7 What is 30 m/s north minus 15 m/s east? Mathematically A – B = ? Words  Math The Problem: We only know how to add vectors.

8 The Trick: Make it Addition A – B = A + (– B)

9 The Trick: Make it Addition A – B = A + (– B) Guess: what is – B?

10 Time Out! C This is C

11 Time Out! C Point in the direction of – C!

12 Time Out! C Point in the direction of – C!

13 Time Out! C Point in the direction of – C! - C

14 Continue

15 The Trick: Make it Addition A – B = A + (– B) - B is B in the opposite direction

16 The Trick: Make it Addition A – B = A + (– B) - B is B in the opposite direction

17 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1 cm = 5 m/s

18 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1) Which are tip-to-tail? 3) 2) 4)

19 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1) Which are tip-to-tail? 3) 2) 4)

20 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1) Draw the resultant for 1): from point ___ to point ___? 2) c b a

21 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1) Draw the resultant for 1): from point ___ to point ___? 2) c b a ac

22 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1) Draw the resultant for 2): from point ___ to point ___? 2) f d e

23 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1) Draw the resultant for 2): from point ___ to point ___? 2) f d e fd

24 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1) Notice: the resultant is the same for option 1) and option 2). 2)

25 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 1 cm = 5 m/s (6.70)(5) m/s = 33.5 m/s 6.70 cm

26 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) 63˚

27 Graphical Addition of Vectors 1.Make a scale drawing. 2.Move the vectors tip- to-tail. 3.Draw the resultant vector (free tail to free tip). 4.Measure the length of the resultant with a ruler. 5.Measure the direction of the resultant with a protractor. A + (– B) ˚ north of west 1 cm = 5 m/s 63˚ Your final answer!

28 Motion Notes (Continued):


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