A car drives at constant speed in one direction for a period of time, then drives at a faster speed for awhile in the same direction, then finally drives in the opposite direction until it returns to where it originally started. Assign numbers to the problem in a way that makes sense. That is, create the units, speeds, and times for the three segments of driving. Yes, there are many correct answers. Choose one! Draw a graph of the car's velocity as a function of time. Label your axes clearly. Calculate the total distance traveled by the car. Show your work. Find the time at which the car's displacement was the greatest. Explain your answer in words.