I struggled with this, too, until I realised that it is 5 kills in a round, not necessarily against jets. I found this easiest using the slower jets (like the Thunderbolt) on Conquest. Take out choppers with chain guns (multi kill), boats and land vehicles with guided missiles, the gunship if the other team control it (easy 2 kills), etc. Once you start getting multi kills it gets a lot easier.
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