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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. The area represents the distance. Using a method such as counting squares or finding areas of triangles and trapezoids can help in estimating this.
For the given graph:
- Count the number of squares under the curve or use approximations for the segments.
- Calculate the area of any geometric shapes formed (e.g., trapezoids) to get an accurate estimate.
After calculating the area under the curve, it should fall in the range of 15 to 22 metres.