From the driver's perspective, there is no Doppler shift . The driver moves with the sound source, hearing a constant, deafening mechanical drone rather than the "passing" effect. A Matter of Life and Death - NASA
At the exact moment the car passes, the frequency shifts abruptly. race_car_passing_sound_effect
A high-performance engine doesn't just make one sound; it creates a complex layers of acoustic data: From the driver's perspective, there is no Doppler shift