A rapid surging motion.
"The river was rushing violently down the steep canyon, carving a deep path through the rock."
present participle of rush
"The crowd was rushing toward the exit as the fire alarm began to sound."
In plain English: Rushing means moving very quickly because you are trying to get somewhere on time.
"She was rushing to catch her train before it left the station."
Rapidly flowing or surging.
"The rushing river swept away any debris in its path."
In plain English: Rushing describes something that happens very quickly without taking time to think carefully about it.
"The rushing water made a loud noise against the rocks."
A surname.
"Professor Rushing advised the committee on the new funding proposal."