uniform motion means equal distance in equal intervals of time. Suppose, a particle travels on a straight line with constant acceleration, than can we say, in this case, uniform motion can be equal displacement in equal intervals of time instead of equal distance in equal intervals of time?
[Physics] definition of uniform motion
kinematics
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The definition of uniform motion is that the object is supposed to cover equal distances in equal intervals of time.
Well, it isn't defined from velocity. As you clearly write it here yourself. That is your own interpretation. You could just as well have said that "that means that the acceleration must be constant, so why do they define it from acceleration and not velocity?"
Uniform motion means all those things: Constant velocity, constant acceleration, constant displacements during each time interval etc.
No, uniform velocity means that the instantaneous velocity is constant, i.e., the acceleration during some finite time interval is zero.
In the example you invented we could say there are three different time intervals of uniform motion. During the first hour the velocity is 50 km/hr in a fixed direction and is uniform. During the next half hour the velocity is 0 km/hr and therefore a different uniform velocity. And the third uniform velocity is 50 km/hr in a fixed direction.
Note that the instantaneous velocity was not constant for the entire 2 hours, therefore the velocity was not uniform for 2 hours. The fact that the first and third intervals had the same velocity has nothing to do with uniform velocity.
Edit addition: Another use of the word uniform is in the phrase uniform circular motion. Here, uniform refers to the speed of the object because the velocity is not constant and there is an acceleration. Circular implies that the radius of curvature of the path is constant. So uniform circular motion means the instantaneous speed is constant, the acceleration is always perpendicular to the velocity, and the path is a circle.
Context is important when interpreting the meaning of the word uniform.
Best Answer
Uniformly accelerating motion refers to a state of motion that accelerates at a constant rate in a single direction. Gravity is an example of uniform acceleration; an object in free fall accelerates at a constant 9.8 meters per second per second towards the center of the gravitational field.
Uniform motion describes the situation that occurs when an object travels in a straight line in uniform motion, the distance it has traveled can be calculated by multiplying the velocity by the time it took to travel the distance. Any object that moves with deviations in its speed or direction is said to be undergoing non-uniform motion.
They are not the same concept.