Datepicker advice on how to best handle date AND time?

I need to add a facility to an HTML5 form that allows users to select a date AND time which then inserts into a MySQL DATE field.

Previously I had been asking people to first enter a date, by physically typing it in (loads of user errors would occur!) and then in two seperate select menus choosing the start hour and start date. I would then feed this from one form page to another form page and then it arrived at the second form page I combined to the form fields results to product a date and time for insertion.

Basically, that sucks ass big time and I just want the user to be able to select a date AND time from one simple datepicker tool. Is this possible with the Datepicket extension?

If not, how best would you advise approaching this?
Thank you.
NJ