How to find my Iphone 4 without icloud or any other tracking apps?

I have lost my phone and I need to know how I can track otherwise I could always go to the police station… But I want to use that as a last resort. My mom had an emergency and had to go to the hospital, my grandmother drove, she hasn't seen it since. The hospital says they don't have it, my grandma doesn't have it in the car, so the only other thing I can think of it was stolen… She really needs to find the phone so I need to know NOW how to track a iphone without icloud, tracking apps, or etc., The phone is probably dead so I don't know whether or not that will affect the problem. But the really last resort is to go to the police station, but I really doubt they will be able to find it without it being on. So please help me in finding my mother's phone. I would really appreciate it!

You don't.

Call the carrier to track it with gps.