Collegephysicsanswers a marathon runner completes a 42.188km course in 2h, 30 min, and 12s. there is an uncertainty of 25m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) calculate the percent uncertainty in the distance.

uncertainty in distance = 0.071 %

Explanation:

Distance covered by the marathon runner is given as

uncertainty in the distance moved by runner is given as

now we have

now percentage uncertainty in the distance is given as

%

now we have total time taken by him

now percentage uncertainty in time is given as

%

Since we know that

distance = (speed)(time)

so total percentage uncertainty is given as

%

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