The phrase "uniform motion" is correct and can be used in written English.
It is generally used when referring to a motion that is constant and not changing in speed or direction, such as an object traveling in a straight line at a constant velocity. For example, "The ball was rolling with uniform motion across the lawn."
Uniform motion therefore does not require a cause.
Consider, for example, a stream of fluid in uniform motion approaching an obstacle of some sort.
Linear motion, also called uniform motion or rectilinear motion, motion in one spatial dimension.
The laws of motion take such a form that they are not changed by uniform motion.
Earlier astronomers had based their theories on the older Ptolemaic idea of hierarchies of circular orbits and uniform motion.
All dynamical experiments yield the same results as obtained in an inertial state of uniform motion unaffected by gravity.
Because both the angle rotation and the vertical displacement are produced by uniform motion, each moves through the same fraction of its entire journey in the same time.
The equant, however, broke with the main assumption of ancient astronomy because it separated the condition of uniform motion from that of constant distance from the centre.
Thanks to the cursed Communist past, Hungarian voters had decades of practice making a uniform motion of the pencil over an always uniform (that is, option-free) ballot list.
Newton's first law of motion (which remains true in special relativity) states that a body acted upon by no external forces will continue to move in a state of uniform motion relative to an inertial frame.
For example, the Archimedean spiral couples uniform motion of a point on a half ray with uniform rotation of the ray around a fixed point at its end (see Sidebar: Quadratrix of Hippias).
