Green’s Dictionary of Slang

kick it v.4

[put one’s foot on the gas pedal]

(US) to accelerate a vehicle.

[US]Eble Campus Sl. Nov. 3: kick it – to accelerate quickly.
[US]R. Campbell In La-La Land We Trust (1999) 156: Whistler kicked it to forty-five and almost missed the twin ruts and the thinning of the palmetto.