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Deriving the centripetal acceleration formula. A body that moves in a circular motion (of radius r) at constant speed (v) is always being accelerated. The acceleration is at right angles to the direction of motion (towards the center of the circle) and of magnitude v2 / r. The direction of acceleration is deduced by symmetry arguments.
a = (vf - vi)/Ît . [only for constant acceleration] If the acceleration is not constant, we define it as the vector made out of the ax, ay, and az components found by applying the slope-of- the-tangent-line technique to the vx-t, vy -t, and vz -t graphs. Now there are two ways in which we could have a nonzero acceleration.