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A swimmer completes a 400m freestyle race. Their split times are recorded every 100 meters, as shown in the table below.
\(t\) (seconds) 0 50 110 180 255
\(d\) (meters) 0 100 200 300 400
  1. Find the swimmer's average speed (rate of change of distance with respect to time) for each 100m segment of the race:
    1. from 0m to 100m.
    2. from 100m to 200m.
    3. from 200m to 300m.
    4. from 300m to 400m.
  2. What do these rates of change suggest about the swimmer's pacing during the race?

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