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

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SUMMARY

The discussion revolves around calculating the distance by which a runner won a 100-meter dash, given a total time of 11.8 seconds and a victory margin of 0.001 seconds. Participants suggest various methods for solving the problem, including calculating average speed, assuming constant acceleration, and estimating final velocity at 10.7 m/s. However, it is concluded that the question lacks sufficient definition to yield a precise answer, as the assumptions made do not provide a definitive solution.

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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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