For speed:
* Hurried: This implies a sense of urgency and haste.
* Dash: This is a more vigorous and rapid movement.
* Scurry: This is a quick, nervous movement, often used for small animals.
* Bolt: This suggests a very rapid and sudden movement.
* Hustle: This often implies a determined effort to move quickly.
For overwhelming demand:
* Surge: This refers to a sudden increase in something.
* Flood: This suggests a large and overwhelming amount of something.
* Wave: This implies a continuous flow of something.
* Onslaught: This refers to a fierce and overwhelming attack.
For excitement or enthusiasm:
* Excitement: This refers to a feeling of intense joy or anticipation.
* Fever: This suggests a strong and intense feeling.
* Thrill: This implies a sudden and intense feeling of excitement.
Other synonyms:
* Hurry: This is a general term for moving quickly.
* Hasten: This suggests making something happen faster.
* Expedite: This implies taking steps to make something happen more quickly.
* Rush hour: This refers to a time of heavy traffic.
* Rush job: This refers to a task that needs to be completed quickly.
To determine the best synonym, consider the specific context in which "rush" is used.