Mook, 24, an eighth-grade reading teacher at Harris Middle School, was last seen Monday afternoon after dropping off her child at the home of her ex-husband on Nashvillle Dirt Road near Shelbyville, police said Wednesday.
Mook's Pontiac Grand Prix was found late Monday night off Manchester Highway (U.S. 41 South), according to spokesperson Kristin Helm of the Tennessee Bureau of Identification.
The vehicle was burned too badly for information to be processed, Helm said.
Authorities didn't reveal that Mook was missing until Wednesday afternoon.
Shelbyville police said Mook missed a 4:30 p.m. Monday appointment to meet a maintenance worker at a Murfreesboro apartment where she had moved over the weekend.
Mook had been living in a home on Meadow Drive in Shelbyville since her divorce from Tyler Augustus Mook of Shelbyville, according to Sheriff Randall Boyce.
Deputies had been called to the Nashville Dirt Road home for what Boyce termed "problems" connected with the couple's divorce, but no violent acts had been reported or charges filed.
"Since there's a child involved it makes you very concerned that this won't come out good," Boyce said. "We're just checking everything we can from this end and working with other agencies involved in the investigation."