I've ridden as a patient twice in an ambulance.
The first time was when I worked for an EMS system.
I was at the station just coming on shift and I got a call to go downtown to fill out some paperwork before starting my shift.
I rode a Harley back then so I climbed on my bike, went downtown, and headed back to the station.
I pulled into a left-turn cutout on the median.. hit an oily spot and laid the bike right down!
Broke the thumb on my right hand, got a cut just below my left eye.
I picked up my bike, rode onto my station (which was really close to that location), and got to be a 'patient' in my own ambulance!
The second time was also due to a motorcycle accident.
I was at the College of Oceaneering in Wilmington, Ca. (in the LA harbor area) and I borrowed this guy's Kawasaki bike (my Harley had a dead battery so I left it at home that day).
As I was returning to the school after running to the store to get something, a lady 'left-turned' into me.
I flew through the air, rolled and landed up on my feet.
I had been wearing a wetsuit with neoprene booties.
Both my feet were punched through the booties, my left foot was broken and my left shoulder banged up a bit... but otherwise I was okay.
I got to ride in the LA County ambulance to two hospitals... Kaiser first... but I didn't have insurance so I went to Long Beach Memorial next.
I've driven ambulance for the military, a service in Austin, Texas, Menard County Texas, and El Paso EMS in El Paso Texas.
I've got LOTS of good ambulance stories! 
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