Objective: Understanding the difference between:

1

• Objective Understanding the difference between
• 1) Distance and Displacement
• 2) A Distance/Time Graph
• A Displacement/Time Graph
• A Position/Time Graph

2
12
11
10
9
8
7
6
5
4
3
2
1
0
3

• The distance time graph describes a car journey
  from home.
• Explain what you think is happening on the
  journey.
• In total, how far did the car travel?
• How many minutes was the car stationary for in
  the journey?
• During what section of the journey was the car
  travelling fastest?
• What was the cars speed between A and B?
• What was the cars speed between C and D?
• What was the average speed for the whole journey?
• Can you tell how far away from home the car was
  when it reached its destination?

4
Displacement (km)
12
11
F
10
9
8
7
6
5
4
D
E
3
2
A
C
1
B
0
0 2 4 6 8 10 12 14 15 16 17 18 20 22 24
26 28 30
Time (mins)
5

• Summary
• Distance tells you how far you have travelled (it
  works like the odometer in a car). It is a scalar
  quantity and always increases in size.
• Displacement is the vector equivalent of
  distance, it is how far you are from the starting
  point. Displacement can be positive or negative.
  It is a vector quantity as it has both a size and
  a direction

6
Have a go at the trolley graph match activty.
7

• Sketch displacement/time and distance/time graphs
  for the
• following situations
• The pendulum of a grand father clock that
  oscillates 5 cm to either side and takes 1 second
  to swing from one side to the other
• The height of a cricket ball thrown vertically
  upwards from a height of 1m to a height of 6m if
  it lands on the floor after 4 seconds
• The height of a lift as it leaves the ground
  floor, takes 30 seconds to reach floor 5, waits
  for 1 minute and then takes 40 seconds to descend
  to the basement
• The height of a bungee jumper as they fall from a
  bridge 50m high.

8

• Objective 1) Reinforcement of the difference
  between
• distance/time and displacement/time
  graphs
• 2) Understand how a Position/time Graph
• differs from a
  displacement/time and
• distance/time graph

9
On the paper given to you describe a situation or
which it would be suitable to draw a
distance-time graph/displacement-time graph. Add
enough detail for someone else to be able to
sketch the graphs reasonably well from your
information.
10

• I stand on the roof of the maths block (5 metres
  tall) and throw a ball 4 metres vertically in the
  air, letting it fall to the ground.
• Which of the following graphs is
• A distance/time graph
• A displacement/time graph
• A position/time graph

13
12
11
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6
0
11
Exercise 1B questions 2 to 4 pg 9