Cold Water Tap has High Pressure
The first thing you should do is test your water pressure. Gauges are available at home supply stores or online for as little as $10. The gauge attaches to any hose bib in your home.
An ideal pressure range for a domestic water supply is about 60 to 70 psi. If it's much over 100 you should consider adding a pressure reducing valve (PRV) on your incoming water supply line. Excessively high pressure can result in leaks in your water lines or fixtures.
Different faucets in a home will often exhibit different water pressure based on a number of factors. In order to comply with state and federal guidelines newer ones have water restrictors in them. The faucet in question may be older (no restrictor) or it may have been removed at some point.
One solution is to simply replace the faucet.