I CAN DETERMINE THE CHANGE IN POSITION OVER TIME ALONG TWO AXIS

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