For a velocity-versus-time graph, the displacement is the area under the curve.
For the three regions, we can visualize their area from the figure below.
We see that region A is in the shape of a triangle while regions B and C are in the shapes of trapezium.
The area of a triangle is given by:
, where b is the base and h is the perpendicular height.
A person on horseback moves according to the velocity-versus-time graph shown below. (The vertical axis is marked in increments of 2 m/s and the horizontal axis is marked in increments of 5 s.) Find the displacement of the person for each of the segments A, B, and C individually, as well as the whole trip represented by the graph.
m (whole trip)
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