You no longer need to watch the whole video to see if it contains the words you're looking for. You will get direct links within the video to your search terms!
VideoWordSearch for YouTube lets type in a search term and get up to 50 videos on that subject. You can then replace your search term with a more specific term if you wish to search the loaded videos. Then click on one of those 50 video titles and it will immediately search that video for your search term or phrase, and in the blink of an eye, give you a list of instances in the video where that word or phrase is used verbatim, the timecode where it's being used, and by clicking on one of the search results, will actually take you directly to that point in the video where it's being used. You can also enter a specific URL or playlist URL that you want to check. If that video also has uploaded captions, it will let you know where your search term is being used as well. And your search results can be printed out as a text file for future reference, either in plain text form or tab-delimited text that can be imported into Excel.
In addition to being able to download your search results, you can also download either full-text transcripts of the video, or you can download closed-caption files in either the SRT or VTT format. It will give you the choice of any language for which it has a closed caption track available, and will remember your last language choice for the next search automatically.