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I CAN DETERMINE THE CHANGE IN POSITION OVER TIME ALONG TWO AXIS.
Vectors and Scalars
• Vectors require a magnitude & a direction.– Example: Displacement is a vector.
• Scalars require only a magnitude. – Example: Distance is a scalar.
Add to your CN about position, distance and displacement
Vector/Scalar example: Millie and Maxine start from their Paris
apartment.
Vector/Scalar example: Millie and Maxine start from their Paris
apartment. Maxine drives 3 miles west. Millie drives 3
miles.
Vector/Scalar example: Millie and Maxine start from their Paris
apartment. Maxine drives 3 miles west. Millie drives 3
miles.
Vector/Scalar example: Millie and Maxine start from their Paris
apartment. Maxine drives 3 miles west. Millie drives 3
miles.
? ?
? ?
?
Vector Scalar
Displacement answers two questions: How far?
Which way?
Distance answers
one question: How far?
Vector Scalar
Displacement answers two questions: How far?
Which way?
Distance answers
one question: How far?
• One dimensional motion• Two dimensional motion
Adding vectors
A
B +
Place the vectors ‘Head-to-tail’
The ‘arrowhead’ is the head.
One dimensional motion
Adding vectors
A
B +
Place the vectors ‘Head-to-tail’
The ‘arrowhead’ is the head.
A
B
One dimensional motion
Adding vectors
A
B +
Place the vectors ‘Head-to-tail’
The ‘arrowhead’ is the head.
A
B
One dimensional motion
A
B
Remember this?
- 12 - 8 -4 0 4 8 12 16 20 24
Does the resultant vector represent
the distance or the displacement?
Adding vectors
T
W
+
Place the vectors ‘Head-to-tail’
The ‘arrowhead’ is the head.
Two dimensional motion
Adding vectors
Place the vectors ‘Head-to-tail’
The ‘arrowhead’ is the head.
Two dimensional motion
T W
T
W
Vectors can be added in any order.
T W
Two dimensional motion
Many vectors can be added together as long as they are the same physical dimension. In other words, displacement vectors can only be added to other displacement vectors.
T W
A
+ +AWT
Two dimensional motion
Two dimensional motion
Two dimensional motion
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