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Published byGenevieve Bennington Modified over 2 years ago

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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 of then add up the areas. Practice COPY

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Acceleration and speed-time graphs

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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

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Handout

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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 =

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

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Acceleration video

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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

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

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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

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

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

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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)

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Use graph to calculate acceleration Time (s)Speed Skier 1 (ms -1 ) Speed Skier 2 (ms -1 ) 000 1510 2 20 31530 42040 52550 Copy

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

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So acceleration is… Acceleration = Speed/time

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© Boardworks Ltd 2003 KS4 Distance Time graphs. © Boardworks Ltd 2003 This graphing experiment shows a movie of a car travelling along a straight road.

© Boardworks Ltd 2003 KS4 Distance Time graphs. © Boardworks Ltd 2003 This graphing experiment shows a movie of a car travelling along a straight road.

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