There are six (yes six!) options you can set up to determine who sees your video:
There are three options for providing access to your uploaded video -- Public, Private, and Unlisted. When you upload a video to YouTube, by default it’s set as a “Public” video, which means that anybody can view it, and it can be found in YouTube search results. If you would like to restrict access to a select few (only people in your course for example), consider switching to "Private" or "Unlisted". Your video will not appear in YouTube search results, and only people with your video link will be able to access it.
A closed captioning feature is available in YouTube. The following video will provide you with details.
Vimeo vs. YouTube
Both video sharing services allow users to sign up and upload videos for free. Which one you choose depends on personal preference. To assist you with this, a brief comparison of the services is provided.
YouTube: YouTube definitely has the widest audience of video viewers and is the number one video sharing site on the Web. Anytime the news refers to a video that's trending, they will often refer to the number of "YouTube views" within a given timeframe as an example of its popularity. If you're looking to reach the widest audience, this may be the service for you.
Vimeo: While not as prevalent as YouTube, Vimeo tends to attract more creative and artistic movie makers. If you're looking to be part of a movie-maker community, then this may be the service for you. Also a bonus - no advertising to interfere with your masterpiece!
Of course, your assignment may stipulate which hosting service to use. The information in the YouTube and Vimeo blocks on this page will provide you with detailed information on how to upload your project.