Which one of the following is correctly spelled word?

abbreviate

The only correctly spelled word in your list is abbreviate. The other words are misspelled as follows:

• Acquaintance is spelled with an i instead of an e. The correct spelling is acquaintance.
• Acelerate is spelled with two l's instead of one. The correct spelling is accelerate.
• Anemometre is spelled with an o instead of an e. The correct spelling is anemometer.