Common in late spring through early fall, a rabbit scared out of the road by the car ahead of you might circle right back into the road. A quick tap of your horn as you approach where the rabbit went may freeze him out of harm's way. All three evade predators when on the ground, chiefly through their ability to rapidly change directions. The surest way to avoid a rabbit, chipmunk or squirrel is to stop and wait until the critter is safely out of the road. As long as you're still moving forward, the rabbit, chipmunk or squirrel will continue to assess your car as a threat akin to a dog or fox, only bigger and may keep switching and reversing course.
Raccoons also scavenge roadkills.
They'll turn to face a sudden danger, often stepping into the path of a speeding car. Try to avoid getting their attention. In spring, so many turtles are hit by cars as they migrate between breeding ponds that many species have become regionally endangered. If you're near wetlands and see a rounded lump in the road, assume it's a turtle until you know otherwise. Deer babies are as big as their mamas in October and November, but they are still babies and they still follow Mama.