In a women's 100-m 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 respectve maximum speeds? (c) Which sprinter is ahead at 6.00-s mark, and by how much? (d) What is the maximum distance by which Helean is behind Laura, and at what time does that occur?
The correct answers are:
(a) 5.32 m/seconds squared for Laura and 3.75 m/seconds squared for Healan
(b) 10.6 m/s for Laura and 11.2 m/s for Healan
(c) Laura, by 2.63 m
(d) 4.47 m at t = 2.84 s