GetUnitSpeed

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Returns the movement speed of the unit.

currentSpeed, runSpeed, flightSpeed, swimSpeed = GetUnitSpeed(unit)

Arguments

unit
string : UnitToken - The unit to query the speed of.

Returns

currentSpeed
number - current movement speed in yards per second (normal running: 7; an epic ground mount: 14)
runSpeed
number - the maximum speed on the ground, in yards per second (including talents such as Pursuit of Justice and ground mounts)
flightSpeed
number - the maximum speed while flying, in yards per second (the unit need to be on a flying mount to get the flying speed)
swimSpeed
number - the maximum speed while swimming, in yards per second (not tested but it should be as the flying mount)

Example

The following snippet prints your current movement speed in percent:

/script print(string.format("Current speed: %d%%", GetUnitSpeed("player") / 7 * 100))

Details

As of 4.2, runSpeed, flightSpeed, swimSpeed returns were added. It seem you can also get target unit speed (not tested on the opposite faction).
A constant exists: "BASE_MOVEMENT_SPEED" which is equal to 7 (4.2).