Frequently when a video stops in the middle, it is merely waiting for more information to come over the broadband connection; once it does, the video will start again on its own.
If the stream does not restart in a reasonable amount of time, try stopping and restarting the video. This causes the stream to "rebuffer" and may reset the connection.
A broadband connection means that you have a DSL connection, a cable modem, or a LAN connection to a T1 line (or greater). You can get these connections by contacting your ISP ("Internet Service Provider"), your local telephone company, or your local cable provider.