Question 1005922: Martin won the 400 meter race in the school sports with a time of 1 minute. The distance was correct to the nearest centimeter. The time was correct to the nearest tenth of a second.
Work out the upper bound and the lower bound of Martin’s speed in km/h. Give your answer correct to 5 significant figures. Thanks!
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! The race distance was supposed to be 400.00m,
but maybe it was really up to 0.5cm longer than that, at 400.005m,
or maybe it was really up to 0.5cm shorter than that, at 399.995m.
So, .
Maybe Martin finished in up to 0.05 second less than 1 minute, at 59.95 seconds,
or maybe Martin finished in up to 0.05 second less than 1 minute, at 60.05 seconds.
So, .
Then,
---> --->  .
The numbers above were rounded to 6 significant figures, because they are intermediate results
Lower bound =  (with 5 significant figures reported).
Upper bound =  (with 5 significant figures reported).
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