Graphically, the motion of an object can be represented on a position-time graph or a distance-time graph.
On a position-time graph, time is plotted on the x-axis (usually the horizontal axis) and the position or displacement of the object is plotted on the y-axis (usually the vertical axis). The graph would show how the position of the object changes over time. If the object is at rest, the position-time graph would show a horizontal line at a constant position. If the object is in motion, the graph would show a sloping line with a positive or negative slope, indicating the direction of motion. The steeper the slope, the greater the speed of the object.
On a distance-time graph, time is again plotted on the x-axis, but instead of position, the distance covered by the object is plotted on the y-axis. The graph would visually represent how far the object has traveled at different points in time. If the object is not moving, the distance-time graph would show a flat line at zero distance. If the object is moving at a constant speed, the graph would show a straight line with a positive slope, indicating that the distance covered is increasing at a constant rate.
Overall, both types of graphs illustrate the relationship between time and position or distance of an object, providing a visual representation of its motion.