A monk's Unarmored Movement class feature increases the monks speed by 10 feet at level 2, and further at higher levels. According to this tweet by Jeremy Crawford, this stacks with an Aarakocra monk's fly speed, because that fly speed is innate to the race.
However, how does this interact with fly speeds gained from other sources, such as the Fly spell?
That spell specifically states that "the target gains a flying speed of 60 feet for the duration." Can this gained flying speed then be improved by a monk's Unarmored Movement, giving a level 2 monk a flying speed of 70 feet while the Fly spell is active on them?
Best Answer
Yes, it applies to all movements
Unarmored Movement (PHB, 78) States:
It does NOT qualify as your Walking Speed (or Swimming Speed, or Flying Speed)...just Speed. This applies to all types of movements and would add additional speed to the Fly spell as well.
This is supported by Jeremy Crawford as well.
He further clarifies Bonuses and Penalties that apply to Speed in general:
As the Unarmored Movement does not specify a specific type of speed, it applies to all.
Fly Spell specifically
Fly states (PHB, 243)
The implication here is that you (the target) had no Fly Speed (or a lower Fly Speed) before casting and it is now a speed that you, the target have. Once it becomes your speed, it becomes subject to Unarmored Movement.
Similar to Special Types of Movement in the PHB, page 182)
Here, Swimming has a penalty, unless they have a Swimming Speed. Once they have that Speed, from whatever source, then Unarmored Movement should apply.
Rule of Cool
And it's fun! Monks are supposed to be super quick. Let them be super quick in all their speed!