According to the spell description:
Levitate allows you to move yourself, another creature, or an object up and down as you wish. A creature must be willing to be levitated, and an object must be unattended or possessed by a willing creature. You can mentally direct the recipient to move up or down as much as 20 feet each round; doing so is a move action. You cannot move the recipient horizontally, but the recipient could clamber along the face of a cliff, for example, or push against a ceiling to move laterally (generally at half its base land speed).
My understanding is that while the description says you can’t make something/someone/oneself move horizontally through this spell, there’s nothing stopping the object from moving horizontally by its own device.
So, imagine the following case:
A drow runs at her maximum speed, and jumps over a cliff, activating her Levitate spell-like ability.
- Will the character’s inertia make her move horizontally, while she keep her altitude constant (or rising, or going down) by carefully using Levitate?
- If there’s no obstacle, will she even stop?
- How does that compare to Fly? (https://www.d20pfsrd.com/magic/all-spells/f/fly/)