WARM-UP:HOMEWORK CHECKPlace on your desk:

*Calculator & Protractor*Orange homework chart

*PreVector/Protractor Angle Questions

1) An “unknown” angle is called…

2) Trig. Function tan is equal to (formula):

Agenda1) Warm-Up 5 min

2) Vocab. Words 10 min

3) Vector Intro. 15 min

4) Pre-Vector fill-in notes 5 min

5) Board Notes for Vectors 15 min

6) How to use a Protractor 5 min

7) Drawing Vectors & Finding Angles (graph paper) 15 min

8) Formulas! 10 min

9) Solving Vectors Using tan, sin, cos 20 min

LEARNING GOALS: •The motion of an object depends on the perspective of the observer.•Motion can be represented and analyzed graphically and mathematically.

HOMEWORK DUE:

10-25- 11

theta

Opposite/adjacent

Vocab.1. Vector: an arrow whose length represents the

magnitude of a quantity & direction.2. Vector Quantity: quantity such as force or velocity, has

magnitude & direction.3. Scalar Quantity: quantity such as speed, mass, vol. and

time that can be specified by magnitude (no direction).4. Component: one vector (perpendicular) whose sum is a

resultant vector (net force); combination of two or more components. One side opposite to angle theta θ and side adjacent to theta θ.

5. Resultant: vector sum of 2 or more component vectors; net force; also called hypotenuse or diagonal.

MAGNITUDE – strength of something

“how much?”DIRECTION – “which way?”

MAGNITUDE

less magnitude

more magnitude

DIRECTION

EQUAL MAGNITUDE; OPPOSITE DIRECTION

SPEED VS. VELOCITY

Velocity has both magnitude and direction.

Speed has only magnitude.

You can add the magnitudes of two vectors together to get a resulting magnitude of a vector.

RESULTANT

the sum of two vectors

For Example:

100 N +200 N

300 N net force

or resultant

Also:

100 N +200 N

100 net force

or resultant

For example:

100 km/hr

10 km/hr

Net Velocity:

90 km/hr

OR

100 km/hr

10 km/hr

Net Velocity:

110 km/hr

WIND

Not all vectors occur horizontally. Say the wind was blowing at the plane vertically.

WIND

The plane’s velocity is affected by the wind.

Plane’s velocity

Crosswind velocity

The plane’s resultant vector would look like this:

TERMS

Headwind-means the wind is moving “head on” so that the object is moving against the direction: opposite

Tailwind-means the wind is behind or moving in the same direction as the object

By using the parallelogram method, you can represent the resultant of two vectors.

Create a parallelogram from the two vectors

Board Notes & Formulas

Geometric Addition of Vectors

Parallelograms – shapes that have opposite sides of equal length and are parallel.

EXAMPLES of parallelograms

Then connect the resultant vector.

DUE TODAY:• Pre-Vector Notes (KEEP)

DUE NEXT CLASS:• Pre-Vector Graphs (1 A-D 2 A-B)• Bring Calculator & Protractor!

“It’s the people who try to be clever who never are; the people

who are clever never think of trying to be.

Gilbert Parker