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In a women's 100-m race, accelerating uniformly, Laura takes 1.87 s and Healan 3.12 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? aLaura = m/s2 aHealan = m/s2

(b) What are their respective maximum speeds vLaura,max = m/s vHealan,max = m/s

(c) Which sprinter is ahead at the 6.20-s mark, and by how much? is ahead by m.

(d) What is the maximum distance by which Healan is behind Laura? m At what time does that occur? s

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