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On the Road Lesson 3


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On the Road Lesson 3

  1. 1. Starter  If I travel from A at 30 m/s for 10 minutes do I reach B 20 km A B What if I am a rocket?
  2. 2. Maps and vectors On the Road lesson 3
  3. 3. LI…  Know that vectors have magnitude (size) and direction  Add vectors (tip to tail)  Resolve vectors
  4. 4. Vectors  We are going to study journeys.  A journey can be described as a distance and direction.  A distance in a certain direction is called displacement and is a vector.  Vectors are quantities with both size and direction.
  5. 5. Table of distances Bordeaux Calais Lyon Marseille Paris Brest Bordeaux Calais 696 Lyon 426 612 Marseille 498 879 270 Paris 492 228 390 651 Brest 489 534 759 939 486 Distances in in km in straight lines between places
  6. 6. Getting information from the distances  Can you see that Calais, Lyon and Marseille are on a straight line (or close)  Can you use the data table to find Bordeaux?  Use a compass and ruler  Break down journeys around Caloundra into distances and displacements (try golden beach to kings beach)
  7. 7. France
  8. 8. Resolving Vectors  If we travel from Marseille to Bordeaux how far have travelled towards Calais?  We are resolving the displacement vector.  We are only looking at the journey/displacement COMPONENT moving towards Calais.
  9. 9. France
  10. 10. More maps  The map is from near Mt Hotham Ski area.  Use the scale to work out the displacement from AC and from AD. Use ideas about vectors to work out the displacement going from DC.  Use a diagram and Pythagoras theorem.  Check your answer
  11. 11. Ski Lift  You are an engineer commissioned to build a new ski lift from point C to the highest hill.  First complete a transect of the route using the topographic information from the map.  Draw on the ski lift and use it estimate the amount of cable needed.