An audio system of a vehicle includes: an acceleration state module that sets an acceleration state signal to a first state when a longitudinal acceleration of the vehicle is greater than a first predetermined acceleration, where the first predetermined acceleration is positive; a sound control module that selectively sets audio characteristics for an acceleration event in response to determinations that all of: (i) the acceleration state signal is in the first state; (ii) an electric motor is outputting positive torque to a powertrain of the vehicle; and (iii) a driver is applying pressure to an accelerator pedal; and an audio driver module that, based on the audio characteristics, applies power to speakers to output sound within a passenger cabin of the vehicle.