You go on a time travel device back to rescue an iguanadon and bring it back before the "giant meteor" hits wiping out all the dinosaurs. In the process you get chased by a Carnataurus, a bit T-rex looking thing.
It was originally called Countdown to Extinction. When the movie Dinosaur came out, they tried to do a tie-in. They didn't really change the ride much, just changed the name.
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