To prevent nausea and vomiting, you can take the non-prescription anti-nausea medicine meclizine (also sold under the brand names Dramamine II or Bonine) an hour before taking the first dose of EC. Note that this might make you drowsy.
If you end up puking within an hour of taking a dose of EC, you may want to take that dose again in case your body didn’t absorb the hormones yet.