A Google search using "LC2000 laptop" brings up a number of
interesting hits. Among them are many claiming problems with ATI
Radeon video, and the fact they use XFree86, not the current X.Org.

It also seems the LinuxCertified laptops are circa 2004-2006, and
the most recent page is dated back in 2007.

Do you know what video card is in your laptop? For what it's worth,
ATI has been acquired by AMD and they claim to still support Linux,
so checking for video drivers at AMD's site may be necessary.

As for using kernel 2.6.24 on a laptop, this is on a 5-year-old
Dell Latitude C610:

thad@ubuntu:~$ uname -a
Linux ubuntu 2.6.24-21-generic #1 SMP Tue Oct 21 23:43:45 UTC 2008 \
i686 GNU/Linux

thad@ubuntu:~$ cat /proc/version
Linux version 2.6.24-21-generic (buildd@palmer) (gcc version 4.2.3 \
(Ubuntu 4.2.3-2ubuntu7)) #1 SMP Tue Oct 21 23:43:45 UTC 2008

thad@ubuntu:~$ lspci | grep VGA
01:00.0 VGA compatible controller: ATI Technologies Inc \
Radeon Mobility M6 LY

thad@ubuntu:~$ cat /etc/issue
Ubuntu 8.04.1 \n \l

Note the "lspci | grep VGA" command above; it reveals what video
hardware is in the laptop; mine is an ATI Radeon Mobility M6 LY.

Here's Ubuntu's page on using video:

<https://help.ubuntu.com/community/Video>