Sorry about the problem. But a warranty won't usually get you a new rocket.
Most warranties are limited to the price (usually repair or replacement only) of the item warranted only. I cant think of a single warranty off hand where the warranty covers incidental damage to other property, injuries, etc. Usually, if you read the fine print, these are specifically excluded from any warranty. This includes tires, at least as far as the ones I've seen. All the tire warranties Ive seen limit the warranty to the tire, and usually pro rate that over time to account for wear.
As an observation of warranty law in general, not intended as a comment on any particular product or warranty, a warranty is a type of contract, and usually will not give rise to damages in addition to the amounts set out in the contract. To go beyond that, you would have to show a defect under product liability law, negligent manufacture, or something else, a tort. This is usually hard to prove regardless of the product.
On the other hand, it is usually pretty easy to prove improper installation, abuse of the product, or other issues that can cause a product to fail. Using the tire example, I know of one case where a guys wheel fell off a couple of miles down the road from the garage where the guy had his tire changed. When the police officer pulled up, he looked at the missing wheel, walked up to the driver and said, I bet you got new tires at Garage X, right? This is where their wheels always fall off. Apparently this garage had a hard time remembering to tighten the lug nuts. OK, its not really the tire that had the problem, but that negligence was easy to prove. Ive seen a number of cases allege tire defects. They are hard to prove, especially because people generally do not take care of their tires. But written product warranties generally wont get you more than the price of the item.
Fine Print: Discussion not applicable to implied warranties, which will just confuse things a lot more. Those of you outside the US, or in a few particularly odd states, or cities which believe they are independent jurisdictions, may not notice any resemblance to your own state or local law. Consult you're own attorney in your local jurisdiction. :confused2: