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 respective maximum speeds? (c) Which sprinter is ahead at the 6.00-s mark, and by how

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43. 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 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?
Transcribed Image Text:43. 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 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?
43. (a) 5.32 m/s² for Laura and 3.75 m/s² 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
Transcribed Image Text:43. (a) 5.32 m/s² for Laura and 3.75 m/s² 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
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