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
