You want to park your 20 feet long super-souped-up 1971 Cadilac inside a barn that is only 10 feet long. How fast do you need to drive it to fit it in just snuggly? 0.1c 0.5c 0.75c (square root of 3/4) times c 1.0c (see here for a more detailed discussion)
(see here for a more detailed discussion)