Final answer:
The motion of the car can be described using velocity vs. time and acceleration vs. time graphs, where the slope of the velocity graph indicates acceleration and the area under it represents displacement.
Step-by-step explanation:
The question involves understanding the relationship between position, velocity, and acceleration in the context of Physics. When analyzing motion, specifically the movement of a car along a straight road, it is important to interpret and draw velocity vs. time and acceleration vs. time graphs based on a given position vs. time graph. The velocity graph showcases the rate of change of displacement over time, while the acceleration graph represents the rate at which velocity changes. If the velocity-time graph features a straight line with a positive slope, this indicates that the car is speeding up, which corresponds to positive acceleration. Conversely, a flat velocity-time graph would indicate constant velocity, implying zero acceleration. The area under the velocity graph denotes the total displacement of the car.
When describing the motion of the car using these graphs, you would note that the slope of the velocity vs. time graph gives the acceleration, and the area under the velocity curve gives the displacement. These insights are crucial for analyzing the car's motion and predicting its future position or state of motion.