Transcript PPT CIM P.12.1 Vectors

THIS MINI-LESSON WILL COVER:
 What is the difference between scalars and vector
quantities?
 What is the difference between distance and
displacement ?
 How can vectors be added or subtracted to show final
direction?
What are scalars?
 Scalars are quantities that only have
magnitude (size).
Ex: Temperature
What are Vectors?
Vectors are quantities that have both magnitude
(size) and direction.
Ex: Force – you push something with a certain
amount of force (magnitude) in a particular
direction.
Vectors can be represented by an arrow.
The length of the arrow represents the
magnitude and the arrow points in the
direction.
Man, this
vector
quantity is
hard work.
Force
Practice: Work with your partners to sort the
following quantities into scalars and vectors.
Distance
Displacement
Velocity
Speed
Energy
Acceleration
Time
Number of fish in a pond
Force
Temperature
Momentum
Mass
Answers
SCALARS
VECTORS
Distance
Speed
Energy
Mass
Time
Number of fish in pond
Temperature
Displacement
Velocity
Acceleration
Momentum
Force
Day 2: Distance vs. Displacement
 Distance: - The actual path of an object.
 Displacement – the change in position. It gives the
straight line distance from where you start to where
you end.
 An x is usually used the symbol for displacement .
displacement = final position – initial position
x = xf - xi
Solve the problem
2 km
2 km
33km
2
1) The straight line distance
from a student’s house to
school is 2 kilometers. If
the student walks 2
kilometers to his friends
house first and then 2
kilometers to school, what
was the total distance
traveled? What was his
displacement?
Answer: distance = 4 km
displacement = 2 km North
(Don’t forget direction)
Solve the problem
2) The space shuttle takes off
from Florida and circles
the Earth 10 times before
landing back in Florida. If
one orbit is 41 thousand
kilometers, what was the
shuttles distance travelled?
What was its
displacement?
Answer:
distance = 410,000 km
Displacement = 0 km
Day 3: Vector Addition
 Vectors are helpful because they can be added to find
both final magnitude and final direction.
Ex. A person walks west for 10 km and stops. After an
hour they walk another 15 km west. What was his final
displacement?
To solve, use vector addition.
10 km, west
15 km, west
x = 10 km + 15 km = 25 km west
Vector addition cont…
 Ex. 2) A person walks 10 km west, turns around, and
then walks 15 km east. What is her displacement?
Try to solve on your own.
10 km, west
15 km, east
X = 15 km – 10 km = 5 km, east
Vector addition cont.
 A person walks 100 m south and then 100 m west.
What was his final direction? Try to solve on your
own.
Answer: Southwest
***Quiz: Tomorrow
Day 4
 Quiz!