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The only answer that's true in any case is: When it's speed is greatest.

A free-falling object without air resistance continues to accelerate as long as it

falls, so its maximum speed occurs at the bottom of the fall, just before it hits the

ground, and we can be sure that that's also the instant of greatest kinetic energy.

But the rock is "bouncing", so we don't know how its speed may be changing.

The greatest speed may not be at the bottom of the mountain, so the best

we can say is that whenever and wherever during the tortuous trip it has the

greatest speed, that's also the moment of greatest kinetic energy.

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