object is at rest
If the line is parallel to the time axis, this means that the distance is not changing, so the object is not moving.
-- The distance/time graph for an object in uniform motion is a straight line,which may be sloped.-- The distance/time graph for an object in non-uniform motion may be a linethat isn't straight. But even if the graph is a straight line, that's not enoughto guarantee that the object's motion is uniform ... the distance/time graphreveals the object's speed, but not the direction of its motion.
Seems to me that either of the following could settle that issue: Necessary and sufficient: -- The object is in motion AND there exists a point from which the distance to the object is constant. Sufficient but not necessary: -- The component of the object's position that is parallel to some straight line is proportional to the cosine of (time + a constant).
That the object is moving at a constant velocity
distance = speed x time the speed is the slope of the line which if parallel to X axis is zero - that means speed = 0 and distance is not changing with time, so the object is at rest ( not moving) relative to the observer
the distance time graph will show a linear or a straight line
the distance time graph will show a linear or a straight line
The constant acceleration
the slope would be speed.
The object is stationary as its velocity is zero. The velocity of an object is the gradient of its distance-time graph and as the graph is a horizontal straight line, its gradient is zero. The object is stationary also as its distance from the time axis is not increasing.
it is motion
If an object moving along a straight line,path,track etc.It,s motion is said to be straight line motion