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At 5/10, I'd bet the flop, but I wouldn't bet that turn or river.

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Personally, I think firing on the flop but backing off on the turn OOP with AK UI gets you the worst of both worlds. By pulling back on the turn, you give up any hope of folding a better hand by betting, and instead you relegate yourself to either check-calling a worse hand or check-folding a better hand.

Of course, I also think there are plenty of times when its right to fold AK on the flop or 4th street. Typically this depends with the coordination of the board, the action after the flop, and the "liveness" of your outs.