Question: a tortoise and a hare are competing in a 2000meter...

A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 510-meter head start. When the start gun is fired the hare begins running at a constant speed of 9 meters per second and the tortoise begins crawling at a constant speed of 6 meters per second.

1. Define a function f to represent the tortoise's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.

   f(t)=

2. Solve f(t)=0 for t.

   t=

3. Define a function g to represent the hare's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.

   g(t)=

4. Solve g(t)=0 for t.

   t=

5. Who won the race?