For that period of time, d(t) (the distance) is not changing so the motion is zero velocity.
That the object is moving at a constant velocity
time, distance
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).
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
As the body is at rest, its distance from some point is not changing, so the graph will be a straight line parallel to the time axis (including the possibility of being on the time axis).
object is at rest
constant positive acceleration
If the displacement-time graph is parallel to the time axis, the object is at rest. This is because the displacement is not changing over time, indicating that the object is not moving.
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.
That the object is moving at a constant velocity
The graph is parallel to the time axis, normally the horizontal axis.
If the speed-time graph is a straight line parallel to the time axis, it means the object is moving with constant speed. The slope of the line would represent the speed of the object, and since it is parallel to the time axis, the speed remains constant over time.
To find the direction of motion from a distance x axis and time y axis graph, look at the slope of the graph. A positive slope indicates motion in the positive direction, while a negative slope indicates motion in the negative direction. A horizontal line indicates stationary motion.
time, distance
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).
If the velocity-time graph is a straight line parallel to the time axis, it means the velocity is constant. The acceleration would be 0 because there is no change in velocity over time.
Motion is graphed by using time on one axis and location on the other axis.