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) Responses 11.5 +/- 0.003 s 11.5 +/- 0.003 s 11.5 +/- 0.34 s 11.5 +/- 0.34 s 11.5 +/- 0.2 s 11.5 +/- 0.2 s 11.5 +/- .17 s

Answer 1

To calculate the uncertainty in the time measurement based on the given percentage uncertainty, we can follow these steps:

1. First, convert the percentage uncertainty into a decimal: \[ 1.7% = 0.017 \]

2. Next, calculate the uncertainty by multiplying the percentage (as a decimal) by the measured time: \[ \text{Uncertainty} = 0.017 \times 11.5 \text{ seconds} \]

3. Performing the multiplication: \[ \text{Uncertainty} = 0.017 \times 11.5 = 0.1955 \text{ seconds} \]

4. Rounding to two decimal places (as is common in measurements), we get: \[ \text{Uncertainty} \approx 0.20 \text{ seconds} \]

Thus, the final result for the time measurement with its uncertainty is: \[ 11.5 \pm 0.2 \text{ s} \]

The correct response is: 11.5 +/- 0.2 s.