The graph above shows the acceleration of a car over 8 seconds.Name: Date:

1) Estimate the area under the curve between 0 and 8 seconds using 4 strips (include the correct units in your answer).

2) What does your answer to 1) represent?

3) Is this an overestimate or underestimate? Justify your answer

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2) The area under the curve represents the velocity of the car.

3) Under-estimate as the area of each trapezium is below the curve.

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# Answers

1) Total area of 4 trapeziums = 58 + 106 + 138 + 154 = 456m/s2) The area under the curve represents the velocity of the car.

3) Under-estimate as the area of each trapezium is below the curve.

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