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Physics
Displacement and Velocity
       08/25/2012
Learning Modules
O We will be using learning modules and
  other activities to gain the knowledge
  necessary to master physics.
O Please have your notebook and textbook
  available to complete requested tasks.
Focus Topics
O How is displacement different from distance?
O What is One-Dimensional Motion?
O Identify the difference between scalar and
  vector quantities.
O How is velocity different from speed?
O What is Average Velocity and how is it
  calculated?
O How to represent and interpret velocity
  graphically? Identification of Instantaneous
  Velocity.
Continuous Assignment
O Throughout this chapter keep a journal (in
  your folder) that collects each formula
  discussed.
Example:
Displacement:            Δx= xf - xi
                         Displacement= change in
position=
                         final position-initial position
Scalar Quantities
O Scalar is quantities (amounts) that are
  fully described by a magnitude (or
  numerical value) alone.
Magnitude= The size of an object; no
direction

A has a greater magnitude than B
Examples of Scalar
O 68 degrees Fahrenheit
O $37.50
O 35 mph
O 7000 ft


Graphical representations will be discussed
later.
Vector Quantities
O A Vector is something that has two and
 only two defining characteristics:
  1. Magnitude : the meaning of magnitude
      is 'size' or 'quantity‘
  2. Direction: the meaning of direction is
     quite self-explanatory. It simply means
     that the vector is directed from one place
     to another.
Examples of Vector
O 35 mph EAST
O 7000 feet NORTH
O 20 miles NORTHEAST


Graphical representations of these will be
discussed later.
Self-Assessment
O In your notebook, come up with 4 example
  each of scalar and vector quantities.
4 vector examples
4 scalar examples
ActivWords
For the blanks on the left side. Place a √ by the
word you know and a X by the word you do not
know.
         __ One Dimensional Motion __
                 __ Distance __
               __ Displacement __
                  __ Velocity __
                   __ Speed __
                   __ Slope __
          __ Instantaneous Velocity___
One Dimensional Motion
Another Example
Distance
O Distance is the magnitude between two
  interval points. (Scalar Quantity)
Distance= Sum of total movement

Chris walked 200 yards to Cherry’s house. He
left Cherry’s house and walked 50 yards to the
store. After leaving the store he walked to same
path home.

What was the total distance traveled by Chris?
Displacement
Displacement= the change in position of an
object. (Vector Quantity)

Δx = xf – xi

Chris walked 200 yards to Cherry’s house. He
left Cherry’s house and walked 50 yards to the
store. After leaving the store he walked to same
path home.

What was Chris’ total displacement?
Prompt
O Explain the difference between distance
 and displacement. Provide Examples

O Explain the difference between scalar and
 vector. Provide Examples.

Answer in complete sentences.
Complete this problem.
Steven wakes up every morning to run. He
runs up the street 12 blocks (north). He
turns around runs 8 blocks (south) to a local
store to pick up his morning sausage and
biscuit. While he eats, calculate his
displacement and distance up to the store.

*Remember which one is scalar and which
one is vector.
Positive and Negative
   Displacement
Positive Displacement
Negative Displacement
Wait I thought displacement
  was a vector quantity!




Correct. Although a sign is sufficient when
directions are not given.
For example: -4 meters is a vector
representation
Example
Is this positive or negative
       displacement?
Prompt
O Explain the circumstances surrounding a
 positive or negative displacement.
Research
O Look up the difference between speed
 and velocity?
Speed
O Speed is the amount of distance covered
 over a certain period of time. (Scalar)

Speed = distance
         time
Velocity
O Velocity is the rate at which an object changes
  (displacement) position over a period of time.
  (Vector)

Velocity= displacement               or
          time

Average Velocity = Δx       =      xf-xi
                   Δt              tf-ti
Example




Velocity= 2 ft/sec east
Let’s look at an example
           problem
Trey runs the 400 m race in 49.45 seconds.
What was his average velocity?

Vavg = ΔDisplacement
       ΔTime

(400-0) =         +8.1 m/s
(49.45-0)
Let’s look at another example
O Laquisha’s average velocity as she drove
  to the store was 12 miles per hour (Lots of
  traffic). It took her 20 minutes to reach the
  store. How much distance did she travel.
20 min. X 1 hour          = 20/60= 0.33 hours
               60 min.
12 mph= Displacement = 3.96 miles
             0.33 hours
Page 44
O Complete problems on page 44: Practice
 2A
Prompt
O Explain the difference between speed and
  velocity. Provide examples



O I did not provide a definition for average
  velocity. Just by examining the formula,
  provide a good definition.
ActivGrouping
O What are three words that come to mind
 when you think of slope.

Write this in your notebook and email them
to me.
tsande13@gmail.com
O Create a line graph to represent the data
  given.
                Time (x)   Position (y)
                   0            0
                   1            3
                   2            6
                   3            9
                   4            4
                   5            7
                   6           10
What can this graph tell us?
Chart Exercise
O Using the chart complete the following:
Example: What is the slope between 0-3
seconds?
Slope= yf-yi = 9-0      = 9/3 or 3
        xf-xi   3-0
2) 2-4 seconds
3) 3-6
4) 0-6
Guess what?
O You have actually found multiple average
  velocities.

O So, for your example the average velocity
  was +3 m/s
What else can this
 graph tell us?
Chart exercise
This time find slope at individual points.
Example: 3 seconds
Slope= y/x          9/3 or      3 m/s

1) 2
2) 4
3) 5
4) 0
Instantaneous Velocity
O You just calculated instantaneous velocity.
The example given illustrates that at 3
seconds the instant velocity was +3 m/s

What is going on between 3 & 4?
What would it mean if the line between two
time periods looked liked this “       “
Section wrap-up
O Go back to slide 10 and complete right
  side of the assessment now that we have
  worked with the terms.
O Complete lab (see materials in
  blackboard) at home or in class
O Graphing Assessment

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Physics (displacement, distance, speed, velocity) 1 d

  • 2. Learning Modules O We will be using learning modules and other activities to gain the knowledge necessary to master physics. O Please have your notebook and textbook available to complete requested tasks.
  • 3. Focus Topics O How is displacement different from distance? O What is One-Dimensional Motion? O Identify the difference between scalar and vector quantities. O How is velocity different from speed? O What is Average Velocity and how is it calculated? O How to represent and interpret velocity graphically? Identification of Instantaneous Velocity.
  • 4. Continuous Assignment O Throughout this chapter keep a journal (in your folder) that collects each formula discussed. Example: Displacement: Δx= xf - xi Displacement= change in position= final position-initial position
  • 5. Scalar Quantities O Scalar is quantities (amounts) that are fully described by a magnitude (or numerical value) alone. Magnitude= The size of an object; no direction A has a greater magnitude than B
  • 6. Examples of Scalar O 68 degrees Fahrenheit O $37.50 O 35 mph O 7000 ft Graphical representations will be discussed later.
  • 7. Vector Quantities O A Vector is something that has two and only two defining characteristics: 1. Magnitude : the meaning of magnitude is 'size' or 'quantity‘ 2. Direction: the meaning of direction is quite self-explanatory. It simply means that the vector is directed from one place to another.
  • 8. Examples of Vector O 35 mph EAST O 7000 feet NORTH O 20 miles NORTHEAST Graphical representations of these will be discussed later.
  • 9. Self-Assessment O In your notebook, come up with 4 example each of scalar and vector quantities. 4 vector examples 4 scalar examples
  • 10. ActivWords For the blanks on the left side. Place a √ by the word you know and a X by the word you do not know. __ One Dimensional Motion __ __ Distance __ __ Displacement __ __ Velocity __ __ Speed __ __ Slope __ __ Instantaneous Velocity___
  • 13. Distance O Distance is the magnitude between two interval points. (Scalar Quantity) Distance= Sum of total movement Chris walked 200 yards to Cherry’s house. He left Cherry’s house and walked 50 yards to the store. After leaving the store he walked to same path home. What was the total distance traveled by Chris?
  • 14. Displacement Displacement= the change in position of an object. (Vector Quantity) Δx = xf – xi Chris walked 200 yards to Cherry’s house. He left Cherry’s house and walked 50 yards to the store. After leaving the store he walked to same path home. What was Chris’ total displacement?
  • 15.
  • 16. Prompt O Explain the difference between distance and displacement. Provide Examples O Explain the difference between scalar and vector. Provide Examples. Answer in complete sentences.
  • 17. Complete this problem. Steven wakes up every morning to run. He runs up the street 12 blocks (north). He turns around runs 8 blocks (south) to a local store to pick up his morning sausage and biscuit. While he eats, calculate his displacement and distance up to the store. *Remember which one is scalar and which one is vector.
  • 18. Positive and Negative Displacement
  • 21. Wait I thought displacement was a vector quantity! Correct. Although a sign is sufficient when directions are not given. For example: -4 meters is a vector representation
  • 22. Example Is this positive or negative displacement?
  • 23. Prompt O Explain the circumstances surrounding a positive or negative displacement.
  • 24. Research O Look up the difference between speed and velocity?
  • 25. Speed O Speed is the amount of distance covered over a certain period of time. (Scalar) Speed = distance time
  • 26. Velocity O Velocity is the rate at which an object changes (displacement) position over a period of time. (Vector) Velocity= displacement or time Average Velocity = Δx = xf-xi Δt tf-ti
  • 28. Let’s look at an example problem Trey runs the 400 m race in 49.45 seconds. What was his average velocity? Vavg = ΔDisplacement ΔTime (400-0) = +8.1 m/s (49.45-0)
  • 29. Let’s look at another example O Laquisha’s average velocity as she drove to the store was 12 miles per hour (Lots of traffic). It took her 20 minutes to reach the store. How much distance did she travel. 20 min. X 1 hour = 20/60= 0.33 hours 60 min. 12 mph= Displacement = 3.96 miles 0.33 hours
  • 30. Page 44 O Complete problems on page 44: Practice 2A
  • 31. Prompt O Explain the difference between speed and velocity. Provide examples O I did not provide a definition for average velocity. Just by examining the formula, provide a good definition.
  • 32. ActivGrouping O What are three words that come to mind when you think of slope. Write this in your notebook and email them to me. tsande13@gmail.com
  • 33. O Create a line graph to represent the data given. Time (x) Position (y) 0 0 1 3 2 6 3 9 4 4 5 7 6 10
  • 34. What can this graph tell us?
  • 35. Chart Exercise O Using the chart complete the following: Example: What is the slope between 0-3 seconds? Slope= yf-yi = 9-0 = 9/3 or 3 xf-xi 3-0 2) 2-4 seconds 3) 3-6 4) 0-6
  • 36. Guess what? O You have actually found multiple average velocities. O So, for your example the average velocity was +3 m/s
  • 37. What else can this graph tell us?
  • 38. Chart exercise This time find slope at individual points. Example: 3 seconds Slope= y/x 9/3 or 3 m/s 1) 2 2) 4 3) 5 4) 0
  • 39. Instantaneous Velocity O You just calculated instantaneous velocity. The example given illustrates that at 3 seconds the instant velocity was +3 m/s What is going on between 3 & 4? What would it mean if the line between two time periods looked liked this “ “
  • 40. Section wrap-up O Go back to slide 10 and complete right side of the assessment now that we have worked with the terms. O Complete lab (see materials in blackboard) at home or in class O Graphing Assessment