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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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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. (b... show full transcript

Worked Solution & Example Answer: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 increases linearly, indicating a consistent speed during this time interval.

Step 2

Work out this greatest speed.

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Answer

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

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

From the graph, during the time interval of 0 to 20 seconds, the distance increased from 0 m to 400 m. Thus, we have:

ext{Speed} = rac{400 ext{ m}}{20 ext{ s}} = 20 ext{ m/s}

Therefore, the greatest speed is 20 m/s.

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