A graph represents 4 runners running toward the finish line. Interpret the graph to determine which runner finishes in second place

Runner A 0 seconds 10 meters
Runner B. 2 seconds 10 meters
Runner C starts at 1 meter 4.5 seconds = 10 meters
Runner D starts at 5 meters

1 answer

To determine which runner finishes in second place, let's analyze the information provided for each runner based on their starting positions and the times taken to reach the finish line:

  1. Runner A: Starts at 0 meters and reaches 10 meters in 10 seconds.
  2. Runner B: Starts at 0 meters and reaches 10 meters in 2 seconds.
  3. Runner C: Starts at 1 meter and reaches 10 meters in 4.5 seconds. To find how long it takes Runner C to reach the finish line from the start:
    • Distance from the starting point (1 meter) to the finish line (10 meters) is \(10 - 1 = 9\) meters.
    • The time taken to run 9 meters is 4.5 seconds.
    • To find the speed, we can use speed = distance/time = \(9 \text{ meters} / 4.5 \text{ seconds} = 2 \text{ m/s}\).
  4. Runner D: Starts at 5 meters. If we assume Runner D needs to reach the 10-meter mark, they have to cover a distance of \(10 - 5 = 5\) meters. However, we don’t have specific timing for Runner D, so we'll have to infer.

From this analysis:

  • Runner B finishes in 2 seconds.
  • Runner C finishes in 4.5 seconds.
  • Runner A finishes in 10 seconds.

We don’t have exact timing for Runner D, but they have a starting disadvantage at 5 meters. Therefore, it’s reasonable to assume Runner D takes longer than Runner A if they are running a similar pace.

Given the information available:

  • Runner B finishes first in 2 seconds.
  • Runner C finishes second in 4.5 seconds.

Therefore, Runner C finishes in second place.

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