Your grandma might not have heard of it, but anyone with money or influence has, which is why this might be a good thing for Bitcoin (so far I think it's fair to say the FT has been negative on Bitcoin, but it's only a matter of time).
http://en.wikipedia.org/wiki/Financial_Times
Oh, and The Economist is 50% owned by the FT.
Again, how many do you think will "discover" Bitcoin with FT?
If they have money and influence, my guess is that they already know what it is.
Not necessarily true. While it does have a great chance (especially after being in the news) a lot of people, even after hearing about it, still don't understand what it is or why it matters.