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. Maps and vectors
On the Road lesson 3

3. LI…
 Know that vectors have magnitude (size)
and direction
 Add vectors (tip to tail)
 Resolve vectors

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. 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. 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. France

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. France

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. 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.