Is speed velocity in a given direction?

* hastighed er hvor hurtigt noget bevæger sig. It only tells you the magnitude (how much). For example, 60 miles per hour.

* hastighed er hastighed i en bestemt retning. It tells you both the magnitude and the direction. For example, 60 miles per hour north .

So, yes, speed is the magnitude of velocity. Velocity is a more complete description of motion because it tells you both how fast something is moving and where it's going.