Why? jQuery is a popular, useful library. It makes lots of things simpler, and in most cases isn't an additional dependency.
Is it's implementation slow, or do you mean it's size makes over the wire transmission slow?
Are all jQuery methods slow, or specific cases like DOM manipulation and/or AJAX calls.
It seems that a few years back jQuery had these issues, but are those claims still relevant?
If you don't need to support very old browsers you can easy go without jQuery.
Have a look at http://youmightnotneedjquery.com
Why? jQuery is a popular, useful library. It makes lots of things simpler, and in most cases isn't an additional dependency.