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