A Hoffman #75 air eliminator
Someone may have shut off the water to that faucet, or a pipe may have froze, or there may be air in the pipe.
Shut of the water to the faucet. If a local shut off is not present then the main house shut off will have to be used, or the cutoff at the meter. unless plastic pipe is used then the faucet screws onto the water pipe. It will probably take a pipe wrench on the pipe and the faucet to break it free. use Teflon tape to cover the pipe threads before screwing on the new faucet. Turn the water back on and check for leaks.
Rust popped off inside the pipe and plugged the faucet.
That's just how long it takes to get the water that is sitting in the pipe out. Unless you have a circulating pump on the line so that there is always hot water at the faucet, it always takes a bit of time for the water to get hot. The hot water is in the tank, not the pipe connecting it to the faucet. There is nothing in the pipe to keep the water hot.
To raise the height of an outdoor water faucet, the best thing to do would be to get an extension for the existing pipe that will bring the faucet to the height desired. Remember to turn off the source of the outdoor faucet before starting this project. Remove the faucet valve, screw in the new pipe, replace the faucet valve. Sealing the ends of the new pipe with plumber's tape is also a good idea.
Maybe the kitchen is further away and on smaller pipe.
You can extend the faucet pipe by, getting an extra metal pipe and welding it with the faucet pipe and it shall be extended.
Probably because it flows through several feet of uninsulated metal pipe to get from the water heater to the faucet. After you're done using hot water and you shut the faucet, all the hot water in that pipe cools quickly, and then, next time you want some hot water, you have to wait for all of that water in the pipe to come through the faucet, before any hot water from the heater reaches you. The cure: Get some foam pipe wrap from any home-improvement store and wrap it around the hot-water pipes. Then when the pipe is full of hot water, it'll take longer for that water to cool off.
Supposedly because the water faucet was a favored war-trophy of Russian troops. And I quote, "Instant water everywhere!".
To drain the water that is in the pipe or spout..
Sure hot water heaters use them and they take the heat. However, this might not be up to building codes. Either check the building codes for your area, or be aware that you might have to replace it again in the future.
Too much water pressure, and , or incorrect/insufficient pipe strapping on water lines.