"I hope you like the flight."
Translation:Jeg håber du kan lide flyveturen.
'Jeg håber' introduces a dependent clause. To make this more obvious, you could say 'Jeg håber, at...'.
In dependent clauses, the word order is slightly different to the normal: "Sentence adverbs", such as 'godt' in this case, now go before the verb. Consequently, the correct sentence would be 'Jeg håber, (at) du godt kan lide flyveturen.