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.
An object with a distance-time graph that is a straight line parallel to the time axis is not moving, it is at rest. The object is not changing its position with respect to time.
Translatory motion is the motion of an object where all points on the object move along parallel paths in a straight line. It does not involve any rotation, with all points of the object moving the same distance in the same direction. Examples of translatory motion include a car moving along a straight road and an elevator moving up and down a shaft.
-- 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.
The distance-time graph for uniform motion of an object is a straight line with a constant slope. This indicates that the object is covering equal distances in equal time intervals, showing a constant speed.
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).
object is at rest
An object with a distance-time graph that is a straight line parallel to the time axis is not moving, it is at rest. The object is not changing its position with respect to time.
Translatory motion is the motion of an object where all points on the object move along parallel paths in a straight line. It does not involve any rotation, with all points of the object moving the same distance in the same direction. Examples of translatory motion include a car moving along a straight road and an elevator moving up and down a shaft.
-- 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.
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 for uniform motion of an object is a straight line with a constant slope. This indicates that the object is covering equal distances in equal time intervals, showing a constant speed.
the distance time graph will show a linear or a straight line
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).
decrease its displacement. Displacement is the straight-line distance between the starting and ending points of an object's motion. Therefore, if the distance the object moves is decreased, the displacement will also decrease.
The constant acceleration
Translatory motion refers to the motion of an object in which every point on the object moves in a straight line in the same direction, covering the same distance, at the same time. It does not involve any rotation. Examples of translatory motion include a car moving along a straight road or a person walking in a straight line.