Re: Five days notice
Planet-killers are big, and we spot them quite a bit further out. Most likely, as they pass by us at a fair distance, then see that a few dozen orbits later, they might hit us. More observations usually get us a better estimate of the orbit; then we can say, "oh, that'll be a close miss, too." Read a bit about Apophis (large rock that comes close, but misses, in 2029, and which we thought might come back again in 2036 and hit us.)
We've also already found most of the planet-killers. Much of the current interest is in city or country killers, or Chelyabinsk-type events (breaks a lot of windows and could cause some deaths). For these, knowing five days ahead of time: "a big rock is going to land on this exact spot at this exact time" is useful.
Note that this short-term ability to figure out what's going to hit and what will miss is not new. It's only been used once, for the object 2008 TC3. That object, which was quite small, re-entered over northern Sudan and broke up into little pieces. It was very scientifically interesting (only time we've seen an object in space, tracked it, and found pieces of it on the ground), but unless a shard of it hit you right on the head, it wouldn't have been dangerous.