The favorite to win the race is a Kenyan who holds the current best time, which is 3 minutes 29.4 seconds. The Kenyan runs a very steady race. Each of the
Kenyan's lap times (400 meters) is within a second of each other.
You run a completely different type of race. You have a very strong kick, which
means you usually lag behind for the first three laps to save energy, and then
when the leader has 300 meters to go you pour it on to win at the tape. You like
to save energy in the first three laps, but you don't want to be more than 50
meters behind when you start your kick to the finish line.
Determine your strategy to win this race. What is the average speed you need
to run during the first part of the race? What is the average speed you need to
run during your kick to win the race? How might your race change if the Kenyan
runs two seconds faster?