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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 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.
Practice: Work with your partners to sort the following quantities into scalars and vectors.
DistanceDisplacementVelocitySpeedEnergyAcceleration
TimeNumber of fish in a
pondForceTemperature MomentumMass
AnswersSCALARS
DistanceSpeedEnergyMassTime
Number of fish in pondTemperature
VECTORS
DisplacementVelocity
AccelerationMomentum
Force
Day 2: Distance vs. DisplacementDistance: - 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
33
Solve the problem 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 kmdisplacement = 2 km
North(Don’t forget direction)
2 km
2 km
2 km
Solve the problem2) 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 kmDisplacement = 0 km
Day 3: Vector AdditionVectors 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