The graph shows the speed of a can travelling along a conveyor belt in a factory. The can's displacement (in metres) can be calculated from the area under this graph. What is it?

Question

The graph shows the speed of a can travelling along a conveyor belt in a factory. The can's displacement (in metres) can be calculated from the area under this graph. What is it?

BlackTom AI · Accepted Answer

When a velocity–time graph is integrated, the area under the curve represents displacement. In this graph, the can’s velocity is constant over a certain time interval, forming a rectangle. The base of the rectangle corresponds to the time interval, and the height corresponds to the velocity. Calculating the area of the rectangle: base × height = 5 × 2 = 10. Therefore, the displacement is 10 metres. Explanation for the options (even though no options are shown here): if the velocity were different or if the interval had a different width, the product would change accordingly. The key idea is that area under a velocity-time graph equals displacement, and for a constant velocity over a fixed duration, displacement is simply velocity multiplied by time.

MUF0121 Physics Unit 1 - Semester 2, 2025 2.10 Graphical analysis of motion

The graph shows the speed of a can travelling along a conveyor belt in a factory. The can's displacement (in metres) can be calculated from the area under this graph. What is it?

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