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The table below shows the distances travelled by two athletes, Orla and Molly, during a 100 metre race - Junior Cycle Science - Question a - 2018

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The table below shows the distances travelled by two athletes, Orla and Molly, during a 100 metre race. Distance (m) 20.0 40.0 60.0 80.0 100.0 Orla’s time (... show full transcript

Worked Solution & Example Answer:The table below shows the distances travelled by two athletes, Orla and Molly, during a 100 metre race - Junior Cycle Science - Question a - 2018

Step 1

Draw graphs in the grid below showing distance versus time for Orla and for Molly.

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Answer

To plot the graphs for Orla and Molly, first, we will mark the points from the provided data:

  • For Orla:

    • (4.0 s, 20.0 m)
    • (8.0 s, 40.0 m)
    • (12.0 s, 60.0 m)
    • (16.0 s, 80.0 m)
    • (20.0 s, 100.0 m)
  • For Molly:

    • (4.0 s, 20.0 m)
    • (8.0 s, 40.0 m)
    • (11.2 s, 60.0 m)
    • (14.4 s, 80.0 m)
    • (17.6 s, 100.0 m)

These points can be plotted on the graph with time on the x-axis and distance on the y-axis. Each athlete's distance-time data should be connected with straight lines to indicate their progress throughout the race.

Step 2

Calculate Orla’s average speed.

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Answer

Orla’s average speed can be calculated using the formula for speed:

extAverageSpeed=Total DistanceTotal Time ext{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}

In this case, the total distance is 100 m and the total time taken by Orla is 20 s:

extAverageSpeed=100extm20exts=5extms1 ext{Average Speed} = \frac{100 ext{ m}}{20 ext{ s}} = 5 ext{ m s}^{-1}

Step 3

Which athlete, Orla or Molly, had a constant speed throughout the race?

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Answer

Orla had a constant speed throughout the race. This is indicated by her distance-time graph, which forms a straight line. This means that the speed is uniform at every moment during the race. In contrast, Molly's graph is not a straight line; hence her speed varied throughout the race.

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