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The phrase "direction of motion" is an acceptable and commonly used phrase in written English.
You can use it whenever you need to refer to the direction something is moving in or is intended to move in. For example, "The direction of motion should be towards the goal."
Exact(57)
It depended on the direction of motion.
Most improved in their ability to see direction of motion.
The body becomes shorter along its direction of motion; that is, its length contracts.
The green and blue arrows denotes incident and reflected electron direction of motion respectively.
As Fig. 3B suggests, the level of suppression was independent of the direction of motion.
Advancing protrusions of gliding cells push, on average, in the direction of motion.
This helps for isolating direction of motion to give us sharp corners.
The spin of a photon can point along its direction of motion, or against it, but never perpendicular.
Hussar, C. R. & Pasternak, T. Common rules guide comparisons of speed and direction of motion in the dorsolateral prefrontal cortex.
Similar(2)
All distances along your direction-of-motion contract down to zero.
Lengths and distances get contracted along your direction-of-motion, which is a similar requirement of relativity.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com