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


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

  1. 1. PhysicsDisplacement and Velocity 08/25/2012
  2. 2. Learning ModulesO 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. 3. Focus TopicsO 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. 4. Continuous AssignmentO Throughout this chapter keep a journal (in your folder) that collects each formula discussed.Example:Displacement: Δx= xf - xi Displacement= change inposition= final position-initial position
  5. 5. Scalar QuantitiesO Scalar is quantities (amounts) that are fully described by a magnitude (or numerical value) alone.Magnitude= The size of an object; nodirectionA has a greater magnitude than B
  6. 6. Examples of ScalarO 68 degrees FahrenheitO $37.50O 35 mphO 7000 ftGraphical representations will be discussedlater.
  7. 7. Vector QuantitiesO 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. 8. Examples of VectorO 35 mph EASTO 7000 feet NORTHO 20 miles NORTHEASTGraphical representations of these will bediscussed later.
  9. 9. Self-AssessmentO In your notebook, come up with 4 example each of scalar and vector quantities.4 vector examples4 scalar examples
  10. 10. ActivWordsFor the blanks on the left side. Place a √ by theword you know and a X by the word you do notknow. __ One Dimensional Motion __ __ Distance __ __ Displacement __ __ Velocity __ __ Speed __ __ Slope __ __ Instantaneous Velocity___
  11. 11. One Dimensional Motion
  12. 12. Another Example
  13. 13. DistanceO Distance is the magnitude between two interval points. (Scalar Quantity)Distance= Sum of total movementChris walked 200 yards to Cherry’s house. Heleft Cherry’s house and walked 50 yards to thestore. After leaving the store he walked to samepath home.What was the total distance traveled by Chris?
  14. 14. DisplacementDisplacement= the change in position of anobject. (Vector Quantity)Δx = xf – xiChris walked 200 yards to Cherry’s house. Heleft Cherry’s house and walked 50 yards to thestore. After leaving the store he walked to samepath home.What was Chris’ total displacement?
  15. 15. PromptO Explain the difference between distance and displacement. Provide ExamplesO Explain the difference between scalar and vector. Provide Examples.Answer in complete sentences.
  16. 16. Complete this problem.Steven wakes up every morning to run. Heruns up the street 12 blocks (north). Heturns around runs 8 blocks (south) to a localstore to pick up his morning sausage andbiscuit. While he eats, calculate hisdisplacement and distance up to the store.*Remember which one is scalar and whichone is vector.
  17. 17. Positive and Negative Displacement
  18. 18. Positive Displacement
  19. 19. Negative Displacement
  20. 20. Wait I thought displacement was a vector quantity!Correct. Although a sign is sufficient whendirections are not given.For example: -4 meters is a vectorrepresentation
  21. 21. ExampleIs this positive or negative displacement?
  22. 22. PromptO Explain the circumstances surrounding a positive or negative displacement.
  23. 23. ResearchO Look up the difference between speed and velocity?
  24. 24. SpeedO Speed is the amount of distance covered over a certain period of time. (Scalar)Speed = distance time
  25. 25. VelocityO Velocity is the rate at which an object changes (displacement) position over a period of time. (Vector)Velocity= displacement or timeAverage Velocity = Δx = xf-xi Δt tf-ti
  26. 26. ExampleVelocity= 2 ft/sec east
  27. 27. Let’s look at an example problemTrey 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)
  28. 28. Let’s look at another exampleO 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
  29. 29. Page 44O Complete problems on page 44: Practice 2A
  30. 30. PromptO Explain the difference between speed and velocity. Provide examplesO I did not provide a definition for average velocity. Just by examining the formula, provide a good definition.
  31. 31. ActivGroupingO What are three words that come to mind when you think of slope.Write this in your notebook and email themto
  32. 32. 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
  33. 33. What can this graph tell us?
  34. 34. Chart ExerciseO Using the chart complete the following:Example: What is the slope between 0-3seconds?Slope= yf-yi = 9-0 = 9/3 or 3 xf-xi 3-02) 2-4 seconds3) 3-64) 0-6
  35. 35. Guess what?O You have actually found multiple average velocities.O So, for your example the average velocity was +3 m/s
  36. 36. What else can this graph tell us?
  37. 37. Chart exerciseThis time find slope at individual points.Example: 3 secondsSlope= y/x 9/3 or 3 m/s1) 22) 43) 54) 0
  38. 38. Instantaneous VelocityO You just calculated instantaneous velocity.The example given illustrates that at 3seconds the instant velocity was +3 m/sWhat is going on between 3 & 4?What would it mean if the line between twotime periods looked liked this “ “
  39. 39. Section wrap-upO 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 classO Graphing Assessment