5 fpt means "five
food
per
turn"
A warrior or two for exploring may make sense. Sometimes I don't do this from the capital though, and have the second city put out warriors for exploring. One can see enough to place the second city from the cultural expansion of the capital. That said, using the capital for getting a warrior or two for scouting also can work well. To me, it's a tossup as to which usually works out better.
At Emperor and above your capital does NOT need any warriors. One can just raise the
luxury slider instead. You can put more cities out this way faster, which after a certain point usually implies more units, shields, and food for growth.
MPs, that is "
military
police" do have their uses, and they can help keep science high. However, if one has a choice between warriors as MPs and warriors as scouts, in the early game warriors as scouts works better. Also, if it comes down to earlier cities vs. MPs, earlier cities usually work out better also. If you delay getting out a settler by a turn or two, maybe MPs work out better (maybe not, this seems kind of close actually). But, if you lose 5 turns on training a warrior or two, I'd take the earlier settler anyday of the week for just about all map types and raise the luxury slider instead.