Final answer:
The x vs. t graph for an object moving with constant positive velocity shows a line with a positive slope, while the v vs. t graph shows a horizontal line at the value of the velocity.
Step-by-step explanation:
The student is inquiring about the differences in the graphical representation of position versus time (x vs. t graph) and the velocity versus time (v vs. t graph) for an object moving with a constant positive velocity. In the x vs. t graph, the line would slope upwards, indicating an increase in position over time. The slope of this line represents the object's constant velocity. Since the velocity is positive and constant, we would expect to see a straight line with a positive slope.
In the case of the v vs. t graph for an object moving with a constant positive velocity, the velocity remains constant over time, so the graph would depict a flat horizontal line at the value of the constant velocity. The position of the object would continually increase with time, as indicated by the area under the v vs. t graph, which corresponds to the displacement of the object.