Final answer:
To interpret a truck's motion from a velocity-time graph, both a displacement-time graph and an acceleration-time graph are drawn. The displacement-time graph shows distance over time, with a constant velocity depicted as a straight line with a positive slope. The acceleration-time graph shows changes in velocity, with a flat line representing zero acceleration when velocity is constant.
Step-by-step explanation:
To understand the motion of a truck from a velocity-time graph, we need to create both a displacement-time graph and an acceleration-time graph.
The displacement-time graph would show the displacement (total distance traveled) over time. If the velocity-time graph shows a constant positive velocity, it implies that the truck is moving at a constant speed in one direction. The displacement-time graph, therefore, would be a straight line with a positive slope, showing steady increase in distance over time.
The acceleration-time graph represents how the truck's velocity changes over time. In the case of constant velocity, acceleration would be zero throughout the travel duration because there are no changes in velocity - the slope of the velocity-time graph is constant. Hence, the acceleration-time graph would be a flat line along the zero acceleration axis.
If there are parts of the velocity-time graph where the velocity changes, then during these intervals, the displacement-time graph would show a change in the slope, indicating acceleration, and the acceleration-time graph would depict this acceleration as a non-zero value.