Point being, there's an issue of Scale in City of Heroes, where everyone is assumed to be a base level of Super which is still substantially higher than some people are capable of obtaining.
This is actually more of a case of "acceptable breaks from reality." If your hero were absolutely confined to baseline human capabilities, the world would be very inconvenient to move around in, even moreso than it already is.
You ever notice that every 'human' thug from the lowliest of Hellions to the nastiest of Malta sappers can jump the height of a small building to chase you? That even Mastermind thugs can super-leap? That's because, otherwise, it would be possible to break the game by simply hanging out on a rooftop and sniping where your foes can't reach. Sure, a Flying hero can do this anyway, but they have to take a power to pull it off.
If you were limited to 'peak human' levels of jumping, even under Sprint, your jump would be practically useless. You would
have to take the Leaping or Flight pools, simply to have some degree of vertical mobility outside of ramps and stairs. As far as running goes, CoH characters are pretty quick, but in reality almost every car in the game is driving abysmally slow. Like, no more than 10mph slow. Slow enough that if I saw a car at the end of the block driving at CoH speed, I would feel comfortable in my ability to cross the street before it hit me, provided it didn't speed up. Outrunning CoH's cars is no great feat.