It is probably due to a blockage somewhere in the coldwater pipe or faucet. The easiest to check is the faucet. Turn off the water supply valves. Then take apart the faucet and look for tiny pieces of material (usually metal) that might block the flow of water thru the portholes. If there is no blockage, then the next probable cause is blockage in the pipe. This can occur in copper pipes anywhere there is a soldered joint. The blockage comes from using too much solder so it builds up in the pipe. It is most likely the faucet. Even if you don't see blockage it could be there. You can usually replace the faucet "guts" without too much expense and its worth a try, before working on the water pipes.
The kitchen is probably a long way from the hot water heater. The cool water in the pipes have to be pushed through before the hot water from the heater can get there.
The aerator needs cleaning. Replace the supply lines and/or the supply valves, if they were re-used, they may be obstructed with lime scale.
I just brought a Glacier Bay pull down ceramic kitchen faucet Model 896408. After installing it, the cold water wasn't coming out of the faucet. It turned out the problem was the coldwater supply line inside the faucet was bent & twisted. As a result, when the body of the faucet was attached, it had to be turned just a little to position it correctly, this tighted and choked the water supply line even more- which meant "no cold water." Waiting on replacement line from Glacier Bay, which, I am certain, will correct the problem.
its not the co.pper line its the faucet stem or angle stop
Some faucets use the water pressure to open the seal after it has been released by the handle. It may be that the seal is tight and slow to move after it has been released. One other thing to check, is your water pressure ok at this faucet.
Many of the newer faucets have flow restrictors in them as an attempt to reduce water usage. Some of the flow restrictors can be defeated by disassembling the valve and opening up or removing the restrictor.
Your cartridges or cartridge must be bad or blocked with debris. Remove, clean and replace if necessary.
Check to see if your aerator screen is plugged at the end of the spout. Unscrew it and blow it out, screw it back on.
Take the hose off the water faucet and check the little filter in the hose end. It may be plugged with fine sand or rust.
the water must reach a certain mass weight in order to release the faucet surface and fall, therefore with a slow leak the drop can form a larger drop before falling.
Perhaps the filter screen is blocked, which you can clean and replace. This may improve the flow through that faucet.
Do all the faucets do this or just one. if its just one faucet its a problem with this fauset. If its all the faucets in the home its a problem with the main water line coming into your home.
The water pressure when one turns on the hot water is lacking because the water is coming from one's water heater, which is at the same level as the faucet, whereas the pressure from the cold valve is coming directly from one's town's water tower, which is at a much greater elevation. Also, the water heater tank is only a few feet high, whereas the water holding cell in a water tower is several feet high. The potential energy of the water tower far exceeds that of one's hot water heater, thus the cold water flows out of the faucet with much more pressure.
There are a few things you can do. First wrap the hot water lines from the water heater to the faucets. You can also install a hot water circulation system that basically circulates hot water to the faucet 24/7. This allows you to have almost instant hot water each time you turn it on. You can also install a small on demand water heater near that faucet. It will produce hat water when the faucet is turn on. There is no storage tank on this type unit. They are very small and can fit under a sink.