Apparently they don't run away from cars. Those animals have no instinct to survive.
Thats a bit of a fib if I've ever heard one. I live close enough to see deer on a weekly basis blocking my only way of entrance and exit to my property. I've never once in almost two decades seen a deer do this. I live close to the city and that could change how deers behave versus what was shown in the video, but its pretty obvious that deer was either zoned out from being hit or was begging to be put out of its misery.
That being said, what is it with people getting all outraged over cops shooting a deer? It's pretty hilarious some of the comments in this thread suggesting the cops did anything wrong. In a college class recently we were talking about how out of touch society is with where it gets it's food from and how the food chain actually works. This thread shows how people have no idea how deer populations work if they care about a single deer shot by cops in a urban area. I'd love to see this threads reaction on cops shooting a mountain lion within a mile of a school in my area.
P.S. Cop hatred is pretty funny on this forum, too. Cops are hated because either you earned a ticket, one was being a dick (oh gee, one person being an asshole and you label the entire career as such), or you've in the past done, been doing, or are planning to do something illegal. Why else would you hate cops? It's not like you have to deal with cops on a regular basis if you are a normal law-abiding citizen.
I still at times do low-level "illegal" things and I'd still rather have police than not have police and deal with crazies or high level of crime. Go to a third-world country and see how horrible/no police works out and let me know if you still "hate" cops.