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
If an object's velocity-time graph is parallel to the time axis, it indicates that the object is moving at a constant velocity. This means that there is no change in velocity over time, and the acceleration is zero. The object is either moving at a steady speed in a straight line or is at rest.
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
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 an object's velocity-time graph is parallel to the time axis, it indicates that the object is moving at a constant velocity. This means that there is no change in velocity over time, and the acceleration is zero. The object is either moving at a steady speed in a straight line or is at rest.
If the graph if speed vs. time is a straight line parallel to the time axis, then the speed is not changing.Acceleration is the slope of the line on such a graph. Slope is (speed change) divided by (time for the change).Since the speed doesn't change over any period of time, the slope of the line is zero.The object's speed is constant. Its acceleration is zero.
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.