Answer:
See below.
Step-by-step explanation:
See the attached worksheet. The key is to know that the slope of a time vs distance graph is the slope of the line. Points where the line is horizontal means speed is zero. A line that is rising means speed is positive. Falling means negative.
The slope at any one point may be approximated by taking two points and calculating the Rise/Run, or slope of the line at those points.
Points Q and R were selected for the slope calculation. Q, with slope 18, has a greater rate of change than R at - 11 (both are m/s). The negative value does not necessarily mean the car is headed downhill. It only tells us that it is headed in the opposite direction. That could be up, down, or sideways, but it is opposite the direction of where the graph is rising.
Since Q, is closer to B, the car is moving faster at point B.
The car is moving backwards whenever the slope changes to a negative value. E is probably the best choice.
The car is not moving at D, the maximum and where the slope is zero.
The car is accelerating at A, C, and E, where the slope is changing.