In a women's 100m race, accelerating uniformly, Laura takes 2.00 s and Healan 3.00 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4 s.
(a) what is the acceleration of each sprinter?
(b) What are their respective maximum speeds?
(c) which sprinter is ahead at the 6.00 s mark, and by how much?
(d) What is the maximum distance by which Healan is behind Laura, and at what time does that occur?