Why did relations between the Superpowers change in the years 1962-75?

Since this is not my area of expertise, I searched Google under the key words "superpower relations 1962-1975" to get this:

http://www.google.com/search?client=safari&rls=en&q=superpower+relations+1962-1975&ie=UTF-8&oe=UTF-8

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.