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The graph shows the speed, in metres per second, of a particle over the first four seconds of motion - OCR - GCSE Maths - Question 20 - 2017 - Paper 1
Question 20
The graph shows the speed, in metres per second, of a particle over the first four seconds of motion. Use the graph to estimate the distance travelled by the partic... show full transcript
Worked Solution & Example Answer:The graph shows the speed, in metres per second, of a particle over the first four seconds of motion - OCR - GCSE Maths - Question 20 - 2017 - Paper 1
Step 1
Estimate the Area Under the Graph
Answer
To estimate the distance travelled by the particle, we need to find the area under the speed-time graph between 0 and 4 seconds. This can be done by counting the number of full squares under the curve, or by using geometric shapes to approximate the area.
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Count the complete squares under the curve. If each square represents a unit area, add these together to get a total.
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For any partial squares at the top of the graph, estimate their contribution based on how much of the square is filled. This will involve some approximation.
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Alternatively, break the area into shapes such as triangles and rectangles, calculate their area using appropriate formulas, and sum these up to find the total area.
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Based on calculations from the area, the estimated distance travelled can be between 15 to 22 metres.