In a distance-time graph, the distance is plotted on the vertical axis and time is plotted on the horizontal axis. If the motion of an object is represented by a straight line parallel to the time axis, it means that the distance is not changing with respect to time. This indicates that the object is not moving and has a constant distance from a reference point.
Option 1: An accelerated motion refers to an object increasing its velocity over time. However, if the distance-time graph shows a straight line parallel to the time axis, it means that there is no change in velocity. Therefore, option 1 is incorrect.
Option 2: A decelerated motion refers to an object decreasing its velocity over time. Since the distance-time graph shows a straight line parallel to the time axis, it implies that the object is not moving and has a constant distance. Hence, option 2 is incorrect.
Option 3: A uniform non-zero velocity motion implies that the object is moving with a constant speed in a specific direction. However, in this case, the distance is not changing with respect to time, indicating that the object is not moving. Therefore, option 3 is incorrect.
Option 4: A zero velocity motion means that the object is not moving. This matches the