I know that this question already has an accepted answer, but I just can't help weighing in...
30 minutes of precognition is a truly terrifying thing... and if these critters have had this ability for more than a few generations, they will have evolved to take advantage of it.
How would they evolve? Surely precognition means that they don't have to? Well... everything that reproduces itself evolves, and a critter like this will evolve to give it the most valuable things it could possibly have: Options and offspring.
Regardless of its starting point, whether that be a mouse or a moose, a lizard or a lion, once it gains precognition, it will evolve to become more of a generalist, and it will become smarter. A mouse would evolve to become bigger, stronger, smarter, and better able to fight. A lion would probably become smaller but smarter, no longer a creature of brute strength, but one capable of far more subtlety. A moose would evolve to be smaller and smarter, and a lizard would evolve to be bigger and smarter. What if it's a bird... say, a duck? It too would evolve to give it more options. Obviously flight is a major option for a bird... but a precognitive duck would likely evolve a sharper beak and bigger talons alongside its bigger brain. The most terrifying option for this creature's progenitor would be some sort of monkey... they're already reasonably smart, so they would need only a moderate body size and sharp claws and fangs.
Of course, this critter would continue to evolve its precognition. It may have started out as flashes that extended only a few moments into the future, but that would be enough to give it a significant advantage, and if it has evolved to be half an hour, that suggests a considerable amount of evolution already.
So... whatever the creature, it will likely range in size from a kitten to around human-sized. It will likely have sharp teeth or a sharp beak and claws or some other natural weapons like hooves and horns. It will likely be - or at least be on its way to becoming - an omnivore. If it's non-precognitive ancestors were r-strategists, it could be well on its way to becoming a K-strategist, as precognition makes for great parenting.
With an entire half-hour of precognition, these critters wouldn't be particularly rare if they had any amount of evolution behind them, but they would be rarely seen. Knowing when you're sufficiently well hidden is a great advantage.
So... if a critter like this was to be encountered by humans, whether modern or primitive, it would quickly gain a reputation for being elusive, since not being seen by humans is a good survival strategy, as well as gaining a reputation for being very dangerous - if the critter can't hide, and can't run, then it had better put up the best fight it can. These critters would likely be fairly aggressive too. Humans, if sufficiently fit, are persistence hunters par excellence. Few if any creatures that have ever evolved can match a human for the ability to cover ground rapidly over long distances on foot. So, if one of these critters was to be seen by a human and pursued (and couldn't just fly away), it would likely end up badly for the critter... which is why it wouldn't likely run at all. It may not be able to foresee its death at the moment it considers flight as an option, but it would be able to foresee having run for an entire half-hour, and it could also consider other options, such as fighting or hiding. If it knew that hiding would fail, it could put up a very good fight indeed.
If it came to a fight between a human and one of these critters... or even multiple humans against one of these critters, the humans would want to be armoured like knights in full plate armour. The critter might be the size of a rabbit... it might even have evolved from a rabbit... but fighting it would be like fighting the Rabbit of Caerbannog from Monty Python and the Holy Grail... without the option of lobbing a grenade at it, since it would be able to foresee that, and adjust appropriately. With halfway decent natural weapons, every member of this species would be able to employ them with a skill in excess of that of any master martial artist. Humans are thin-skinned, and these creatures could unerringly target vital points, dashing in, dodging any attempt at blocking or attacking made by the humans, and then leaving wounds that just happen to open major blood vessels, or disembowel the hunter, or one of any number of other disastrous occurrences. Even if the humans were wielding firearms, the outcome would likely be bad for the hunters... the critter would likely recognise firearms for what they are, and would either dodge every shot, or potentially attack in such a way that the humans would shoot each other.
Finally, stealth is unlikely to work against one of these critters. Yes, it may work defensively, but offensively? It'll foresee you coming half an hour out.
So... how can humans capture such a formidable foe?
There are suggestions that they could be fenced in... but if the area about to be enclosed is insufficiently large to accommodate the critter, it's likely to be smart enough to realise, and the odds of it breaking out of the enclosure increase to a near-certainty just prior to the effective completion of the enclosure.
Regardless of any other strategy, fighting one of these critters is a pretty much suicidal tactic for any single or even multiple would-be hunters.
Then there's poison or drugs... these have a pretty good chance to work if they take effect slowly enough, but a critter like this is likely to have evolved to be suspicious, and like a rat, is unlikely to simply chow down on any free meal that has no reason to be where it is. Additionally, if one critter samples a bait and succumbs, any other critters who had been considering sampling it will avoid it, and will likely recognise the danger in the future, since they can foresee what something will taste or smell like without having to actually taste or smell it unless it doesn't seem dangerous.
However, the most likely option to 'capture' one of these critters is domestication. As shown, hostile intent toward one of these critters is not likely to end well at all, but their precognition is likely to make them more domesticatable than their precursor species. If approached in a friendly manner, one of these critters would be able to foresee any future hostility, as well as future enticements. Their precognition would give them a confidence that other creatures their size would not possess. While it might begin cautiously, only accepting a tiny amount of the offered treats until it was sure that it was innocuous, it would likely be relatively quickly domesticated. However, it would be inadvisable to attempt to harm the critter once domesticated - it would still foresee the attack coming well in advance, and either hide, run away or preempt the attack with one of it's own. You needn't worry about your kids hurting it - it would know when they were planning something, and would be able to avoid or avert it... most kids are smart enough to realise that when they so much as contemplate doing something that the companion critter might not like and they then get growled at, it isn't likely to work out well.
There would be considerable advantages in domesticating such a critter. The critter gains an easy, plentiful food supply and a safe place to live, and in return is likely to be an excellent guardian, protecting its human companions and their property. In a modern paradigm, if you had a companion critter, you would be well advised to travel with it... it would be able to foresee potential accidents well in advance, so if you're driving and your critter companion starts to get insistent that you stop or divert, doing so could save your life. Critters would be welcome on board aircraft, since if they began to act up, it would be a strong indicator of an upcoming disaster, and at the very least, they would allow the pilot the time to prepare to ditch the aircraft as safely as possible.
There could be other benefits too... imagine that you're browsing in a shopping mall, and your companion critter suddenly leaves and begins to threaten - or simply slaughters - a harmless-looking guy with a backpack... but when the cops investigate, they find that the guy was a potential suicide bomber or gunman, and the backpack was full of the guy's weapon(s) of choice...