Final answer:
To describe and calculate the car's motion, segment it into time intervals, determine the speed through distance/time, and use the slopes of the graphs to find velocity and acceleration. Velocity represents the slope of the position-time graph, and acceleration is derived from the slope of the velocity-time graph.
Step-by-step explanation:
To describe the motion of a car based on its position vs. time graph, and subsequently creating the velocity vs. time and acceleration vs. time graphs, we need to divide the motion into sections. For the car's motion from 0 to 2 seconds, 2 to 4 seconds, and 4 to 6 seconds, we can calculate the relative speed, direction of motion, and speed for each segment. The start position corresponds to the car's position at the beginning of each time interval.
To calculate the speed, use the formula: speed = distance/time. For a velocity vs. time graph, interpret the slope of position vs. time graph as velocity. For the acceleration vs. time graph, the slope of the velocity vs. time graph gives the acceleration. Both the velocity and acceleration are crucial for understanding the car's motion. In segment C, if given data, apply the motion equation to derive the velocity at certain points and plot these to obtain a velocity-time graph.