You nose out a runner to win the 100 meter dash. If your total time

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To determine the distance won in a 100 meter dash where the victory margin is 0.001 seconds, one approach is to calculate average speed, using the total time of 11.8 seconds. Another method involves assuming constant acceleration and using final velocity to estimate the distance. A hypothetical final velocity of 10.7 m/s can also be used for calculations, although this value is arbitrary. Additionally, considering the length of a nose, approximately 2.7 cm, can help relate speed to the time difference. Ultimately, the question lacks sufficient definition for a precise answer.
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You nose out a runner to win the 100 meter dash. If your total time was 11.8 seconds and you won by .001 seconds, by how many meters did you win?
Help! Thanks!
 
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Goopy17 said:
You nose out a runner to win the 100 meter dash. If your total time was 11.8 seconds and you won by .001 seconds, by how many meters did you win?
Help! Thanks!

You could work out an average speed - 100m in 11.8 seconds - to get an answer.
Or
You could assume constant acceleration for the duration of the race and use the final velocity to get an answer,
Or
You could take a guess that the runner achieves a final velocity of 10.7 m/s, and accelerated up to that speed, then continued at constant speed.

btw: I just invented the value 10.7 m/s; though the last possibility probably best models a real runner.

You could always assume a nose is 2.7 cm long and calculate what speed would mean a 2.7cm win = 0.001 seconds.

None of the above really answers this question, but then the question is insufficently defined to have a specific answer.
 
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