Problem: If a train travels 891 km from Berlin to Paris and then overshoots the end of the track by 13 m, (a) what is the percentage error in the total distance covered? (b) Is it correct to write the total distance covered by the train as 891013 m? Explain.

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FREE Expert Solution

For any problem that involves error, the formula we'll use is

% error = (measurement-accepted value)accepted value×100%

An "accepted value" in science is a measurement that's been repeated many times and accepted as accurate. The "measurement" is a value from a single experiment.

(a) For this problem, the 891 km the train is supposed to travel is the accepted value. We're told it overshoots the end of the track by 13 m, so

(measurement-accepted value)=13 m

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Problem Details

If a train travels 891 km from Berlin to Paris and then overshoots the end of the track by 13 m, (a) what is the percentage error in the total distance covered? (b) Is it correct to write the total distance covered by the train as 891013 m? Explain.

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