The Tyrannosaurus was not alive during the Jurassic period.
The Jurassic period was a geological period that lasted from 201.3 million to 145 million years ago. During this period, Plesiosaurs and Stegosaurs roamed the Earth, but the Tyrannosaurus had not yet evolved. The Tyrannosaurus first appeared in the Cretaceous period, which began 145 million years ago.