There are various synonyms for the phrase "heavy right foot" that is typically used to describe a driver who is prone to accelerating harshly and excessively. Some of the common synonyms include lead foot, hard accelerator, pedal pusher, speed demon, and aggressive driver. Such drivers tend to be reckless and put themselves and others at risk of accidents. They may also often incur speeding tickets and fines. As such, it's crucial to communicate the dangers of such driving tendencies and educate drivers on responsible and safe driving techniques.