Funny-ish story. I did most of my early shooting at an indoor match (the same match I later ended up running for several years) that is known as a good entry point match for new shooters. Like you, I definitely kept it in 1st or 2nd gear at first - really my first 2 full matches (6 stages).
I show up for my 3rd match determined to start pushing a little harder and doing a little better. I decide the simplest thing I can do is run hard between positions, rather than just jogging. First stage has two shooting positions at opposite sides of the range. I shoot what I intend to shoot from the left side, then RUN across the stage. I was in my late 30's, and several years removed from any full-speed athletic stuff like football. I sort of forgot that it does take a little bit of time and space to decelerate. So I am basically still moving at a pretty good clip (despite "standing on the brakes") when I arrive at the far right edge of the range - and its cinderblock wall. Well, that wall proved highly effective in bringing me to a stop, and I finished shooting the stage with a now-bruised shoulder. The RO was laughing so hard he had a difficult time getting through the range commands, and later told me he thought I was about to "bust through that wall like the Kool-Aid man!"
But I did do better in that match. Running hard does help. You do have to decelerate at some point, though.