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Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics Class 1 September 13, 2014 Sep 910:07 AM Do Now: Graph the polygon: 1 (7, 5) 2 (7, 3) 3 (2, 3) 4 (7, 9) 5 (7, 9) 6 (2, 5) Describe (name) the shape: Sep 910:07 AM Do Now: Graph the polygon: 1 (7, 5) 2 (7, 3) 3 (2, 3) 4 (7, 9) 5 (7, 9) 6 (2, 5) Describe (name) the shape: Lets Plot Points Sep 910:07 AM Do Now: Graph the polygon: 1 (7, 5) 2 (7, 3) 3 (2, 3) 4 (7, 9) 5 (7, 9) 6 (2, 5) Describe (name) the shape:
Transcript
Page 1: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 1

September 13, 2014

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Lets Plot Points

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Page 2: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 2

September 13, 2014

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Page 3: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 3

September 13, 2014

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Connect The Dots ­ in order plotted

Page 4: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 4

September 13, 2014

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Connect The Dots ­ in order plotted

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Connect The Dots ­ in order plotted

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Connect The Dots ­ in order plotted

Page 5: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 5

September 13, 2014

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Connect The Dots ­ in order plotted

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Connect The Dots ­ in order plotted

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

Connect The Dots ­ in order plotted

Page 6: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 6

September 13, 2014

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:Shape name?

Sep 9­10:07 AM

Do Now:Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape: HEXAGON

Sep 9­10:07 AM

Problem 1:Vector Components

Page 7: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 7

September 13, 2014

Sep 9­9:20 AM

Vector A = 8/ 30o /

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

x = Acosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Acosq

y = (    )sin(     )

y = (    )(0.       )

y = A = <      ,      >

Sep 9­9:20 AM

Vector A = 8/ 30o /

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

x = Acosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Acosq

y = (    )sin(     )

y = (    )(0.       )

y = A = <      ,      >

Sep 9­10:07 AM

Problem 2:Vector Components

Page 8: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 8

September 13, 2014

Sep 9­9:20 AM

x = Bcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Bsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector B = 5/150o /

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

B = <      ,      >

Sep 9­9:20 AM

x = Bcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Bsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector B = 5/150o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

B = <      ,      >

/

Sep 9­10:07 AM

Problem 3:Vector Components

Page 9: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 9

September 13, 2014

Sep 9­9:20 AM

x = Ccosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Csinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector C = 10/315o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

C = <      ,      >

/

Sep 9­9:20 AM

x = Ccosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Csinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector C = 10/315o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

C = <      ,      >

/

Sep 9­10:07 AM

Problem 4:Vector Components

Page 10: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 10

September 13, 2014

Sep 9­9:20 AM

x = Dcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Dsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector D = ­2/235o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

D = <      ,      >

/

Sep 9­9:20 AM

x = Dcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Dsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector D = ­2/235o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

D = <      ,      >

/

Sep 9­10:07 AM

Problem 5:Vector Components

Page 11: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 11

September 13, 2014

Sep 9­9:20 AM

x = Ecosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Esinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector E = 4/­300o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

E = <      ,      >

/

Sep 9­9:20 AM

x = Ecosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Esinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector E = 4/­300o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

E = <      ,      >

/

Sep 9­10:07 AM

Problem 6:Vector Components

Page 12: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 12

September 13, 2014

Sep 9­9:20 AM

x = Fcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Fsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector F = ­9/120o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

F = <      ,      >

/

Sep 9­9:20 AM

x = Fcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Fsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector F = ­9/120o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

F = <      ,      >

/

Sep 9­10:07 AM

Problem 7:Vector Components

Page 13: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 13

September 13, 2014

Sep 9­9:20 AM

x = Gcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Gsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector G = 8/­30o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

G = <      ,      >

/

Sep 9­9:20 AM

x = Gcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Gsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector G = 8/­30o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

G = <      ,      >

/

Sep 9­10:07 AM

Problem 8:Vector Components

Page 14: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 14

September 13, 2014

Sep 9­9:20 AM

x = Hcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Hsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector H = 7/­240o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

H = <      ,      >

/

Sep 9­9:20 AM

x = Hcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Hsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector H = 7/­240o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

H = <      ,      >

/

Sep 9­10:07 AM

Problem 9:Vector Components

Page 15: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 15

September 13, 2014

Sep 9­9:20 AM

x = Lcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Lsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector L = 3/ 75o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

L = <      ,      >

/

Sep 9­9:20 AM

x = Lcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Lsinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector L = 3/ 75o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

L = <      ,      >

/

Sep 9­10:07 AM

Problem 10:Vector Components

Page 16: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 16

September 13, 2014

Sep 9­9:20 AM

x = Mcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Msinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector M = 10/ 100o 

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

M = <      ,      >

/

Sep 9­9:20 AM

x = Mcosq

x = (    )cos(     )

x = (    )(0.       )

x = 

y = Msinq

y = (    )sin(     )

y = (    )(0.       )

y =

Vector M = 10/ 100o  

Find the components...graph ALL vectors on the axis.  Label Vector and Components.

M = <      ,      >

/

Sep 10­7:44 AM

Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

If this were a journey, the last line represents what quality in Physics?

Give the Vector Coordinates in two forms:<       ,        >   and  (r, q) = (      ,       o)

Page 17: Dr. Taylor's Physics Class 1 - Math and Science with Dr ...math-science.weebly.com/uploads/8/1/9/1/8191522/... · Physics 1.3 Vectors_Algebraic Analysis.notebook Dr. Taylor's Physics

Physics ­ 1.3 Vectors_Algebraic Analysis.notebook

Dr. Taylor's Physics Class 17

September 13, 2014

Sep 10­7:44 AM

Graph the polygon:

1 (­7, ­5)

2 (­7, 3)

3 (2, 3)

4 (7, 9)

5 (7, ­9)

6 (2, ­5)

Describe (name) the shape:

If this were a journey, the last line represents what quality in Physics?

Give the Vector Coordinates in two forms:<       ,        >   and  (r, q) = (      ,       o)9    0 9     0

DIRECT DISPLACEMENT

Sep 9­10:11 AM

END


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