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

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Presentation transcript:

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

Time (mins)

The distance time graph describes a car journey from home. 1)Explain what you think is happening on the journey. 2)In total, how far did the car travel? 3)How many minutes was the car stationary for in the journey? 4)During what section of the journey was the car travelling fastest? 5)What was the car’s speed between A and B? 6)What was the car’s speed between C and D? 7)What was the average speed for the whole journey? 8)Can you tell how far away from home the car was when it reached its destination?

Time (mins) Displacement (km) A B C DE F

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

Have a go at the trolley graph match activity.

Sketch displacement/time and distance/time graphs for the following situations: 1)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 2)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 3)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 4)The height of a bungee jumper as they fall from a bridge 50m high.

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

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.

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: 1) A distance/time graph 2) A displacement/time graph 3) A position/time graph

Exercise 1B questions 2 to 4 pg 9