A track coach measures the 100-meter time of a track athlete. The runner completes the distance in 11.5 seconds. If the stopwatch has an uncertainty of 1.7%, what is the amount of uncertainty in the time?(1 point)

11.5 s ± 0.19 s
11.5 s plus or minus 0.19 s

11.5 s ± 0.20 s
11.5 s plus or minus 0.20 s

11.5 s ± 0.1955 s
11.5 s plus or minus 0.1955 s

11.5 s ± 0.196 s
11.5 s plus or minus 0.196 s

Respuesta :

The uncertainty in the time of the runner to complete the distance is 11.5 s ± 0.1955 s

The given parameters;

length of the track, d = 100 m

time to complete the track, t = 11.5 s

the uncertainty, = 1.7%

The uncertainty in the time of the runner to complete the distance is calculated as;

the uncertainty = ± (0.017 x 11.5)

the uncertainty = ± 0.1955 s

Thus, the uncertainty in the time of the runner to complete the distance is 11.5 s ± 0.1955 s

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