After the three trials have been completed. Estimate the uncertainty attributable to your time-of-flight and your range measurements. Make sure to explain your logic. Which measurement (time-of-flight or range) is more precise

Respuesta :

Answer:

The uncertainty attributable to time-of-flight and range measurements have been estimated.

Range measurement is more precise than time-of-flight.

Explanation:

Find the average time

[tex]T_{average} = \frac{5.33+5.28+5.16}{3}[/tex]

             = 5.26 seconds

Standard deviation for uncertainty

[tex]\sigma = \sqrt {\frac{(5.33-5.26)^2+(5.28-5.26)^2+(5.16-5.26)^2}{3}}[/tex]

  = 0.07 seconds (uncertainty attributable to time of flight)

[tex]R_{average} = \frac{83.77+83.63+83.69}{3}[/tex]

              = 83.69

Standard deviation or uncertainty

[tex]\sigma = \sqrt{\frac{(83.69-83.77)^2+(83.69-83.63)^2+(83.69-83.69)^2}{3}}[/tex]

  = 0.06 μm