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10 Here is part of a distance-time graph for a car’s journey - Edexcel - GCSE Maths - Question 10 - 2017 - Paper 2

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10 Here is part of a distance-time graph for a car’s journey. (a) Between which two times does the car travel at its greatest speed? Give a reason for your answer.... show full transcript

Worked Solution & Example Answer:10 Here is part of a distance-time graph for a car’s journey - Edexcel - GCSE Maths - Question 10 - 2017 - Paper 2

Step 1

Between which two times does the car travel at its greatest speed?

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Answer

The car travels at its greatest speed between 0 seconds and 20 seconds. This is because the distance-time graph shows the steepest gradient in that interval, indicating a higher speed.

Step 2

Work out this greatest speed.

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Answer

To calculate the greatest speed, we can use the formula for speed:

ext{Speed} = rac{ ext{Distance}}{ ext{Time}}

From the graph, the distance traveled between 0 seconds and 20 seconds is 200 meters. The time taken is 20 seconds. Therefore, the greatest speed is:

ext{Speed} = rac{200 ext{ m}}{20 ext{ s}} = 10 ext{ m/s}.

Thus, the greatest speed is 10 m/s.

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