Setting a new world record in a 100-m race, Maggie and Judy cross the finish line in a dead heat, both taking 10.2 s. Accelerating uniformly, Maggie took 2.00 s and Judy 3.00 s to attain maximum speed, which they maintained for the rest of the race.
(a) What was the acceleration of each sprinter?
(b) What were their respective maximum speeds?
(c) Which sprinter was ahead at the 6.00-s mark, and by how much?