ItFor other d20-based games, it tends to be clearly and explicitly written in the rules right next to where jumping is described.
D&D 3.5 (and probably other d20) - long jump is done as part of move action, and it requires 20 feet running start (as part of that move action) or the DC is twice as hard. And if you "run out of movement mid-jump" then the move+jump finishes on your next turn's movement. (PHB page 77)
D&D 4 - almost the same, jump is part of the move action, if you move at least 2 squares before the jump, then you jump twice as far, and again "Count the number of squares you jump as part of your move". (PHB page 183)
Both descriptions also seem to allow multiple small jumps in a single move action, as long as the total distance of all movement is within your capabilities.
While neither of these is the M&M rule explicitly, it's probably reasonable to use the D&D 3.5 definition of requiring a 20 foot running start. The doubling of the DC simply doesn't apply since there is no skill check.