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The Euclidean distance between between two points with coordinates (x1, y1, z1) and (x2, y2, z2) is sqrt[(x1 -x2)2 + (y1 - y2)2 + (z1 - z2)2]

In 2-dimensional space, just drop the z terms.

Acceleration is the second derivative of the distance with respect to time. The rate of change of distance, with respect to time is the speed, and acceleration is the rate of change of speed with respect to time.

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