Interesting Usain Bolt problem

Classical Mechanics Level pending

Usain Bolt is the world recorder in \(200\text{ m}\) run with the time \(19.3\text{ s}\). Lets assume that Bolt during the record breaking had the following:

  1. he was accelerating constantly first \(3.6\text{ s}\).
  2. next \(100\text{ m}\) he was travelling with a constant speed.
  3. last part of the race he was constantly slowing down.
    You also know that he passes the first \(100\text{ m}\) for a time of \(10\text{ s}\).
    . What was the Usain's speed when he ran through the goal? Give your answer up to 2 decimal points.

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