How do I add a timepicker to the jQuery UI datepicker

I recently needed to add a datetimepicker to an API project I'm working on. I love the jQquery-ui datepicker, but it doesn't have the option for time. I found a great plugin to the jQuery-ui datepicker called the Timpicker Addon.

The addon supports localization, has sliders to pick the time and is fully configurable. I was able to make it do exactly what I needed, pick to the exact PHP date format I needed (Y-m-d H:i:s).