Final answer:
To describe motion using a position vs. time graph, we look at the slope to determine velocity. For constant velocity, the graph is linear, and the corresponding velocity vs. time graph is flat, indicating no acceleration. The area under the velocity vs. time graph indicates the object's displacement.
Step-by-step explanation:
When analyzing position vs. time graphs, we observe the object's motion over a period.
A linearly increasing graph indicates that the object is moving at a constant velocity in the positive direction.
If we were to draw the corresponding velocity vs. time graph, the line would be horizontal, reflecting constant velocity, and the acceleration vs. time graph would be a horizontal line along the time axis at zero, indicating no change in velocity.
To understand how velocity changes over time using a position vs. time graph, one should look at the slope of the graph.
A steepening slope implies an increase in velocity, while a leveling out indicates a decrease.
If the graph slopes downward, the object is moving in the negative direction, thus velocity is negative.
If velocity is constant, the slope of the position graph is constant. Through the velocity vs. time graph, acceleration can be determined by looking at the slope; a flat line means no acceleration.
The area under the velocity vs. time graph represents the displacement of the object.
To describe motion with negative direction, the position vs. time graph would slope downwards and the velocity vs. time graph would be below the time axis.