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13 April, 17:21

In Michael Johnson's world-record 400 m sprint, he ran the first 100 m in 11.20 s; then he reached the 200 m mark after a total time of 21.32 s had elapsed, reached the 300 m mark after 31.76 s, and finished in 43.18 s.

During what 100 m segment was his speed the highest?

a) Between the start and the 100 m mark.

b) Between the 100 m mark and the 200 m mark.

c) Between the 200 m mark and the 300 m mark.

d) Between the 300 m mark and the finish.

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Answers (1)
  1. 13 April, 17:23
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    b)

    Explanation:

    Assuming that we are talking about average speed during any segment, we can apply the definition of average speed, as follows:

    v (avg) = Δx / Δt = (xf-x₀) / (tfi-t₀)

    Using this definition for the 4 segments, we have:

    1) v (0-100m) = 100 m / 11.20 sec = 8.93 m/s

    2) v (100m-200m) = 100 m / (21.32 s - 11.2 s) = 100 m / 10.12 s = 9.88 m/s

    3) v (200m - 300m) = 100 m / (31.76 s - 21.32s) = 100 m / 10.44 s = 9.58 m/s

    4) v (300m-400m) = 100 m / (43.18 s - 31.76 s) = 100 m / 11.42 s = 8.76 m/s

    As we can see, the highest speed was reached between the 100m mark and the 200m mark, so the statement b) is the one that results to be true.
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