Warm-up (YOU NEED YOUR BOOKS TODAY)

Find the height of the wall to which the ladder reaches

Objective

TLW identify appropriate coordinate systems for solving problems with vectors, apply the Pythagorean

theorem and tangent functions to calculate the magnitude and direction of a resultant vector.

Today

• Outline• Practice Problems– Diagram skills– Pythagorean Theorem WS

Objective

• TLW resolve vectors into components using the sine and cosine functions and add vectors that are perpendicular

Sample Problem A

• An archaeologist climbs the Great Pyramid in Giza, Egypt. The pyramid’s height is 136m and its width is 2.30x 102m. What is the magnitude and the direction of the displacement of the archaeologist after she has climbed from the bottom of the pyramid to the top?

Direction

Two legs of a triangle are 10 and 24 units. What is the length of the hypothensuse?

Finding Side Lengths

Warm-up

• A roller coaster moves 85m horizontally, then travels 45m at an angle of 30 deg above the horizontal. What is its displacement from its starting point?

Objective

• TLW resolve vectors into components using the sine and cosine functions and add vectors that are not perpendicular

Sample A

• We did this together yesterday, what were some main ideas?

Today

• Objective: Check understanding of vector components and adding perpendicular vectors

• Vector Practice due• Last minute questions• Vector Quiz• Practice A Extra Practice

Warm-up

• If you traveled 5 meters East and then 20 meters North. What is your total displacement and direction

Objective

• TLW resolve vectors into components using the sine and cosine functions and add vectors that are not perpendicular

Practice Worksheet

• Work on the practice worksheet. You will have other homework so make sure you finish this quickly.

Sample B

• Find the components of the velocity of a helicopter traveling 95 km/h at an angle of 35 deg to the ground

Homework

• Pg. 92 Practice B #1-4• Pg. 94 Section Review #2 and 3• Hint (Number 2 the vectors are perpendicular)

Warm-up

• Find the components of a vector that is 30 meters long and 25 deg. above the +x horizontal

Today

• Grade hwk.• Resolve vectors together• Sample Problem C• Homework Practice C #1-4 pg. 94• Section Review #2-4 pg. 94

• Objective: TLW resolve vectors into components using the sine and cosine functions and add vectors that are not perpendicular.

Sample Problem C

• A hiker walks 27.0 km from her base camp at 35 deg south of east. The next day she walks 41.0 km in a direction 65 deg north of east and discovers a forest ranger’s tower. Find the magnitude and direction of her resultant displacement between the base camp and tower.

Warm-up 10/23

• Happy Mole Day!• What are the components for a vector that is

15 units long at an angle of 30 deg above the negative x-axis?

Today

• Warm-up: What are the components for a vector that is 15 units long at an angle of 30 deg above the negative x-axis?

• Check Practice C • Homework

Homework

• Pg. 108-109 # 1-4, 6, 21, 22, 24• Due tomorrow

Winston Churchill“You have enemies? Good. That

means you’ve stood up for something, sometime in your life”

Classwork

• Check 1 and 2 for accuracy.• Finish 3 and 4. – Once finished show either Ms. McCarbery, Ben, or

myself.– We will check for accuracy and then you can move

on to your homework

Warm-up

• What is the definition of a vector?• What is the definition of a scalar?

• Are the following a vector or a scalar?– The cost of a movie ticket– Velocity of a bullet train– The acceleration of a basketball falling from the

hoop

Vectors

Objective: Check for understanding of vectors, scalar, and components

Today

• Warm-up• Objective• Homework discussion• Finish section review questions• Vector worksheet with vector/scalar review

Homework

Pg.108-109 #6, 21, 22, 24