# 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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