- #1
Latios1314
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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?
I've managed to solve part a, b and c of the question but I'm stuck at part d.
I've difficulty coming up with the equations for the distance ran by Laura and Healan. I've stuck at trying to fit both the final velocities and the accleration of the runners into the same equation.
(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?
I've managed to solve part a, b and c of the question but I'm stuck at part d.
I've difficulty coming up with the equations for the distance ran by Laura and Healan. I've stuck at trying to fit both the final velocities and the accleration of the runners into the same equation.