High Quality Content by WIKIPEDIA articles! Areal velocity is the rate at which area is swept out by a particle as it moves along a curve. In many applications, the curve lies in a plane, but in others, it is a space curve. The adjoining figure shows a continuously differentiable curve in blue. At time t, a moving particle is located at point B, and at time t + ?t the particle has moved to point C. The area swept out during time period ?t by the particle is approximately equal to the area of triangle ABC. As ?t approaches zero this near equality becomes exact as a limit.

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