IPhone 5 display cracked after dropping once (in hard case) - covered by warranty?

I just got an iPhone 5 a few months ago. It got dropped from a low height (2-3 feet) while in a hard plastic case, and to my shock the front display cracked, right across the front-facing camera rendering Face Time unusable.

This was an "accident" so I fear it's not covered by warranty, but that is so lame. Shouldn't a phone be able to withstand a mild drop? It's going to happen to everyone eventually, after all. My previous iPhone, the 3GS got dropped a dozen times in the 2.5 years I had it and never cracked.

Thanks for any insight (the Apple website only gives me options of how to send the phone in, and doesn't say if it's covered or not)

It should be under warranty, my iPod 4th Generation's earphones broke around 3-5 months after purchase. Now if you have a Apple Store near you do the following:

1) See if there's a Apple Store near you

2) You may have to schedule with one of the Associates

Now if they can't do anything then you can do this:

1) Look up on Amazon.com for a new iPhone 5 screen

2) Then fix it yourself!

Fixing the iPhone 5's screen is VERY EASY!

Here is a VIDEO Tutorial on how to do this: