5 minutes 15 mph North 20 miles East 25 Dollars 15 lbs downward 6 knotts at 15° East of North

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# 5 minutes 15 mph North 20 miles East 25 Dollars 15 lbs downward 6 knotts at 15° East of North - PowerPoint PPT Presentation

5 minutes 15 mph North 20 miles East 25 Dollars 15 lbs downward 6 knotts at 15° East of North 23 cm3. Scalars and Vectors. Scalars and Vectors. Scalars. Vectors. Vector = size AND direction Ex: displacement, velocity, acceleration Cannot use normal arithmetic. Ex:

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## PowerPoint Slideshow about '5 minutes 15 mph North 20 miles East 25 Dollars 15 lbs downward 6 knotts at 15° East of North' - maris-bauer

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Presentation Transcript

5 minutes

15 mph North

20 miles East

25 Dollars

15 lbs downward

6 knotts at 15° East of North

23 cm3

### Scalars and Vectors

Scalars and Vectors

Scalars

Vectors

• Vector = size AND direction
• Ex: displacement, velocity, acceleration
• Cannot use normal arithmetic.
• Ex:

3mi + 2mi = 1mi

3mi + 2mi = 5 mi

3mi + 2mi = 3.6mi

Scalar = magnitude or quantity (size)

Ex: mass, energy, money, distance

Normal Number

Can add, subtract, multiply, etc normally.

Ex:

3mi + 2mi = 5mi!

Notation of Vectors (symbol)

Angle of vector from positive x-axis

Name of vector

Magnitude of Vector

2.3

45°

If C is a vector, then A and B are the vertical and horizontal components

However, we are going to use different notations for B and A…..

However, we are going to use different names for A and B

θ

What are the equations for Cx and Cy?

• Resultant vector
• Not the sum of the magnitudes
• x-components add to givex-component of resultant
• y-components add to givey-component of resultant

B

A

Transform vectors so they are head-to-tail.

Bx

By

B

A

Ay

Ax

Draw components of each vector...

B

A

By

Ay

Ax

Bx

B

A

By

Ay

Ry

Ax

Bx

Rx

Draw resultants in each direction...

B

A

R

Ry

q

Rx

Use the Pythagorean Theorem and Right Triangle Trig to solve for R and q…

- Draw the vectors

• Solve for the components of the vectors
• Add the x components together
• Add the y components together
• NEVER ADD AN X COMPONENT TO A Y COMPONENT!