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
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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
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Warm-up
Objective
Homework discussion
Finish section review questions
Vector worksheet with vector/scalar review
Homework
Pg.108-109 #6, 21, 22, 24