# Vectors and Two-Dimensional Motion - PowerPoint PPT Presentation

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## Vectors and Two-Dimensional Motion

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### Vectors and Two-Dimensional Motion Vectors in Two Dimensions Adding Vectors Graphically R A B R A B Place vectors _____ Parallelogram Method Can move a vector ... – PowerPoint PPT presentation

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Title: Vectors and Two-Dimensional Motion

1
Vectors and Two-Dimensional Motion
• Vectors in Two Dimensions

2
Adding Vectors Graphically
Place vectors ____________
3
Parallelogram Method
• Can move a vector parallel to itself

R A __
R B __
4
Adding More Than 2 Vectors
Fig. 3.4, p. 56
5
Vector Components
• Vector components related to ________ and
_________

6
Negative Vectors
• -A has the same magnitude as A, but the
__________ direction

A
Ay
-Ax
Ax
-Ay
-A
7
Subtracting Vectors
• Subtraction is the same as ________ the ________

Fig. 3.5, p. 56
8
Vectors Multiplied by a Scalar
• Each ___________ gets multiplied by scalar
• Division is the same as ___________ by 1/(scalar)
• If scalar is negative, direction is _______

9
Adding Vectors Algebraically
By
Ry
?
Ay
Ax
Bx
Rx
10
Adding Vectors Algebraically
Check to make sure __ makes sense tan-1 only
gives ? between ____ and ____
11
Working in Two Dimensions
• Reference frame chosen for convenience
• ?r, v, and a are vectors know how to
• Break into x- and y-components
• Add/subtract components
• Convert result to magnitude and direction
• Two vectors are equal only if they have the same
__________ and __________

12
Displacement Vector
• Point 1 is located by vector ___ with components
___ and ___
• It moves to point 2 via ___ with components ___
and ___
• Point 2 is located by vector ___ with components
___ and ___

y
2
1
x
13
Displacement Vector
• Vector addition holds true for displacement
vectors and their components

y
2
?r
1
r2
r1
x
14
Velocity Vectors
• Average Velocity

Components
15
Acceleration Vectors
• Average Acceleration

Components
Instantaneous Acceleration
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