In my country ambulances are allowed to run red lights, but not speeding. Actually they have their own rules that allow speeding in certain roads if the are in an emergency over their own limit: they are limited to 90 kmh in the motorway, but can go up to 120kmh, like any other car, in an emergency. Over that, they could potentially get a ticket. But AFAIK they can never go over the limits a normal car has.
When I read "obviously" in your parent comment, I though: well, not so obvious. We don't know why the vehicles are banned from this park (extreme cases: there are vehicle mines remains from a war that explodes under big weights. Park is built so ir can't stand so much weight and big vehicles would get trapped), so maybe police and ambulances must proceed on foot for the last hundred meters.
When I read "obviously" in your parent comment, I though: well, not so obvious. We don't know why the vehicles are banned from this park (extreme cases: there are vehicle mines remains from a war that explodes under big weights. Park is built so ir can't stand so much weight and big vehicles would get trapped), so maybe police and ambulances must proceed on foot for the last hundred meters.