"Car damage" is not very descriptive, but I'm going to try and answer the question I think you're getting at, which is "Are there negative effects from constantly flooring it?" To which the answer is: yes.
In short, you are going to "wear through" everything faster. Some examples:
- Tires will burn up faster, and you will get less life out of them.
- Suspension and drivetrain components are getting a sudden "jolt" applied to them, which will reduce life.
- You are asking your transmission to shift at higher RPMs on a regular basis, which can and will accelerate wear.
- And of course, you are going to get worse gas mileage.
- Also all of that quick accelerating likely means excessive braking, so you will be eating through pads/rotors faster.
Now don't get me wrong, I'm not saying that you should never try to accelerate quickly or risk your car falling apart. Cars are built to be driven. But I don't really understand this part of your post:
Recently I started flooring the accelartor(push pedal right down to floor in an instant) to make car go faster.
The question really is, why are you doing this? Are you trying to merge onto the freeway at the appropriate speed, and as such you pin your foot to the floor for 5 seconds? If so, go for it, it's safer to merge at the same speed as everyone else.
But if you are just flooring it every time the light turns green, only to slam on your brakes and get stuck in traffic 20 seconds later... I'd question what benefit you are really getting. You aren't saving time, and you are costing yourself money.