is a specific kind of: motion, move, movement.

is a broader term that covers: acceleration, quickening, speedup | deceleration | scud, scudding.

derivation: accelerate, quicken, speed, speed up | accelerate, speed, speed up | hurry, speed, travel rapidly, zip | speed | belt along, bucket along, cannonball along, hasten, hie, hotfoot, pelt along, race, rush, rush along, speed, step on it | rapid, speedy.