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why is radial acceleration still v^2/r when the speed is non uniform?

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circular motion. also i have almost got it :D
i think its because v here is at a specific time
I think it is because the acceleration is independent of the speed and only depends on the velocity of motion at any particular point (t). If the velocity changes, the acceleration changes, but is still directed toward the center of the circle.

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Other answers:

Even if the object changes speed, it still moves in a circle -- and hence will have a centripetal acceleration that depends on its velocity.
However.. if speed is not constant, then there is an additional tangential acceleration in a direction tangent to the circle itself. But this isn't relevant is it?

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