Split the layer at the point where you want the motion to change. Then take a snapshot of the comp window. Change the anchor point on the newly-created split. Keep tweaking its position until it precisely matches the the previous one, referring to the snapshot you took.
Not sure what you mean by "Split the layer". Are you really saying to duplicate the layer? Then the first layer would end where the second layer starts? If that make sense
[Amended] Okay I found where you split a layer in the edit menu. Thanks! I'll give it a shot!
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You can split like Dave mentions, then take the second part and use the pan behind tool (y) to move the anchor without moving the layer. With the pan behind tool you can grab the anchor point and move it.
Thanks Dave and DS for your help. Between the two of you that did the trick.