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Area under Graphs The area under a speed vs time graph gives you the distance the object travelled. Split the graph into shapes you can calculate the area.

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Presentation on theme: "Area under Graphs The area under a speed vs time graph gives you the distance the object travelled. Split the graph into shapes you can calculate the area."— Presentation transcript:

1 Area under Graphs The area under a speed vs time graph gives you the distance the object travelled. Split the graph into shapes you can calculate the area of then add up the areas. Practice COPY

2 Acceleration and speed-time graphs

3 Using graphs slopeWe can use the slope of a distance – time graphs to find the speed of an object. straight.To do this the graph line must be straight. Copy

4 Handout

5 slope Calculate the slope for each Car The average speed of Car A = The average speed of Car B = The average speed of Car C =

6 Acceleration Think… what is acceleration? Share with your neighbour What did you think? (Hands up!)

7 Acceleration video

8 So acceleration is… The change in speed over time. It is how much the speed has increased (or decreased) in a particular amount of time. COPY

9 Acceleration, a; ms -2 Acceleration is a measure of how fast an object changes it’s speed. v av at Copy

10 Speed time graphs The gradient (slope) of a speed time graph give the acceleration of the object. If the line is flat, the speed isnt changing and acceleration= 0 The distance traveled is given by the area under the graph. COPY

11 So if we have a speed time graph… Between A and B, the speed is increasing with time. Therefore the object is accelerating.

12 So back to our graph… The slope is given by Rise/run. The rise is speed, and the run is time… The gradient = acceleration

13 Plot a speed – time graph using this data. Plot the two skiers on the same axes. Draw a staright line of best fit for both skiers (use a ruler). Speed (ms -1 ) time (s)

14 Use graph to calculate acceleration Time (s)Speed Skier 1 (ms -1 ) Speed Skier 2 (ms -1 ) Copy

15 Calculate the slope of the two skiers. How quickly was skier 1 accelerating? How quickly was skier 2 accelerating?

16 So acceleration is… Acceleration = Speed/time


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