In randomizer, when using springball to bounce over the moat, the speed required is different depending on whether you have Hi-Jump Boots equipped. Without Hi-Jump, it's better to start running from inside the moat room.

But if you start running from the previous room, you can make the jump without taking the time to remove Hi-Jump Boots. Get some distance from the door to build enough horizontal speed. With this setup, then you want to jump soon after passing through the door. Morph soon after jumping as well, unlike the non-Hi-Jump version where you morph late.