Technical question about engine temp

So I just got my 2001 GT today. I drove it for about an hour and then brought it home, didn’t really abuse it, didn’t really get on it too much. It’s now about four hours after I’ve parked it, In the cold air intake is pretty hot. Even the hood of the car is extremely warm to the touch, the rest of the car has cooled down but the engine is warm. Including the alternator, the cold air intake, and the heads.

Is this normal?
 
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