Is my camera broken?

I own a nikon d3000 and a 18-55mm lens as well with a 55-200mm lens today i was using my 55-200mm lens i had the hood on the lens i was shooting my brother playing basketball and the ball hit the hood at full speed because i was shooting the ball in mid air and my lens will not foucus properly is my camera broken. Is the mount broken i put my other lens on the 18-55mm and it works but will nikon cover that accident.

Sounds like the lens in broken. Because it's physically damaged I doubt it's covered under standard warranty. You will just have to replace it or get it repaired. Probably cheaper to just replace.

If you purchase alternative insurance, "maybe" the insurance company would cover you since your are paying premiums. But to expect Nikon to fix your lens/camera for free because You caused the damage by putting your equipment in harms way is unreasonable, to say the least!

Warranty does not apply to product abuse. Shooting the ball at a dSLR constitutes product abuse.