Question

directions: the distance - time graph below shows the motion of a student walking to a convenience store for a loaf of bread and returning home. use the graph to answer questions 9 through 13. 9. in which two segments was the student moving at the fastest rate of speed? 10. in which segment might the student be waiting for a traffic light? 11. which segment indicates that the student might be stopped at the convenience store? 12. in which segment was the student moving at the slowest rate of speed? 13. which took longer, walking to the store or walking home? a. home b. store

Explanation:

Step1: Recall speed - slope relationship

Speed is related to the slope of the distance - time graph. Steeper slope means higher speed.

Step2: Analyze segments for fastest speed

Segments with steeper slopes are a and c. So the student moves at the fastest rate in a and c.

Step3: Identify waiting situation

When waiting, distance doesn't change with time. Segment b shows no change in distance, so the student might be waiting for a traffic light in b.

Step4: Identify stopped at store

At the store, the student is stationary. Segment b has a horizontal line (no change in distance over time), so the student might be stopped at the store in b.

Step5: Analyze segments for slowest speed

Flatter slopes mean lower speed. Segment e has the flattest slope among moving segments, so the student moves at the slowest rate in e.

Step6: Compare walking to store and home

The time taken to walk to the store is the time for segment a + b. The time taken to walk home is the time for segment c + d+e. By observing the graph, the time for walking home is longer.

Answer:

1. a and c
2. b
3. b
4. e
5. A. home