1. A student is using a track photogate to determine the time it takes her to run 50 meters. She records the following times: Trial Time (seconds) 1 5.420 5.464 3 5.728 4 5.496 5 5.644 6. 5.794 7 5.540 The data she collects has a mean of 5.583714 seconds, with an absolute uncertainty computed to be 0.141074 seconds. Report her 50-meter time as a confidence interval (а) using the mean and the absolute uncertainty given above. Another student measures his 200-meter run time (b) to be 20.7 ± 0.3 seconds. Report the relative uncertainty of each student and identify which has the more precise run time.

University Physics Volume 1
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Chapter1: Units And Measurement
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Problem 83AP: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of...
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1. A student is using a track photogate to determine the
time it takes her to run 50 meters. She records the
following times:
Trial
Time
(seconds)
1
5.420
5.464
3
5.728
4
5.496
5
5.644
6.
5.794
7
5.540
The data she collects has a mean of 5.583714 seconds, with
an absolute uncertainty computed to be 0.141074 seconds.
Report her 50-meter time as a confidence interval
(а)
using the mean and the absolute uncertainty given above.
Another student measures his 200-meter run time
(b)
to be 20.7 ± 0.3 seconds. Report the relative uncertainty of
each student and identify which has the more precise run
time.
Transcribed Image Text:1. A student is using a track photogate to determine the time it takes her to run 50 meters. She records the following times: Trial Time (seconds) 1 5.420 5.464 3 5.728 4 5.496 5 5.644 6. 5.794 7 5.540 The data she collects has a mean of 5.583714 seconds, with an absolute uncertainty computed to be 0.141074 seconds. Report her 50-meter time as a confidence interval (а) using the mean and the absolute uncertainty given above. Another student measures his 200-meter run time (b) to be 20.7 ± 0.3 seconds. Report the relative uncertainty of each student and identify which has the more precise run time.
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