(Solved): Using and Interpreting Function Notation A tortoise and a hare are competing in a 1200 -meter race. ...

Using and Interpreting Function Notation A tortoise and a hare are competing in a 1200 -meter race. The arrogant hare decides to let the tortoise have a 570 -meter head start. When the start gun is fired the hare begins running at a constant speed of 8 meters per second and the tortoise begins crawling at a constant speed of 5 meters per second. a. 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. $f(t)=$ b. Solve $f(t)=0$ for $t$ $t=$ c. 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. $g(t)=$ d. Solve $g(t)=0$ for $t$ $t=$ e. Who won the race?