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

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.

1. Count the complete squares under the curve. If each square represents a unit area, add these together to get a total.

2. 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.

3. 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.

4. Based on calculations from the area, the estimated distance travelled can be between 15 to 22 metres.