Constant velocity or at constant acceleration
well it would be impossible to accelarate constantly since we would have limits on how fast we can go, so it would sorta look like a square root graph, and we could only maintain a high speed for so long before we would get tired. however if you look at it this way, you measure the distance traveled, say 1 Km, and it took you one hour to get there, you would then be traveling at one km per hour, then you would pick random points, many of them, and measure your velocity at that point, and if it's 1km/hour most of the time then you are maintainting a constant velocity.
on a diffrent note, say you are counting half notes, and every half note you put one foot infront of the other, this would come very close to getting you a constant velocity, either way its' more pheasable to keep going the same speed than to keep accelarating at the same rate.
