Answer:
The snowstorm having impeded our travel plans.
His mind constantly thinking about sports.
Step-by-step explanation:
Absolute phrases are those phrases that modify a noun in a sentence but not only the noun alone. Rather, it modifies the whole/ entire sentence altogether but not connected to the main sentence with a conjunction.
In the given sentences, the absolute phrases are-
"The snowstorm having impeded our travel plans" and "His mind constantly thinking about sports". These two phrases help modify the main clauses in their respective sentences but has no conjunction joining it to them. Moreover, a comma is used to separate them from the main clause and the main clause can still stand as a meaningful sentence on its own even without the presence of the absolute phrases.