WOW! You should never ever get out of the vehicle to check any injured wild animal.

An animal in pain is totally unpredictable. A friend hit a deer and thought it was dead. When he got out the car, the deer heard the door open and close and struggled up and charged toward him. He dove intro the car and pulled the door almost shut when the deer hit the door. 4 holes in the outer door sheet metal and 1 in the inner door panel from the antlers was the result.

It sounds cruel but safe is safe. Even your own dog may bite if it is seriously injured.

ollo ollo, in Post #22 got it right. A bear can easily outrun a deer. A deer is a fast sprinter, but after about 75-100 yards, will usually stop to look back to see if the danger remains. I bear can run for miles. For their size and bulk they are lightning fast.