How would you describe a car kicking up clouds of dust as an adverb of a car heading somewhere?

I am trying to translate a sentence from Turkish to English. I’m almost satisfied and it is something along the lines of

A black car kicking up clouds of dust was seen heading to the city from a distant road.

However, in Turkish, the act of "kicking up clouds of dust" is an adverb of the verb "heading", so it qualifies the verb and not the car itself. In other words, the way the car moves along the road is by kicking up clouds of dust, so it is heading to the city by kicking up clouds of dust. Do you think there’s a way to make it into an adverb? Or maybe a phrasal verb that catches the essence of those two actions, both heading somewhere and kicking up clouds of dust? The verb "heading" is not mandatory, it can be "arriving", "coming" or something else that matches the meaning, and the meaning is the car is going towards the city and is arriving/about to arrive at its final destination.

The best I can come up with is

A black car at a distant road was seen heading to the city by kicking up clouds of dust.

but using "by" to connect those to actions seems like cheating and makes me feel I’m thinking in Turkish and not in English.

For the curious, this is the original sentence (maybe it helps)

Uzaktaki yoldan siyah bir otomobilin tozu dumana katarak şehre geldiği görüldü.