Question

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

Answer 1

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

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

Step-by-step explanation:

Find the average time

`T_(average) = (5.33+5.28+5.16)/(3)`

= 5.26 seconds

Standard deviation for uncertainty

`\sigma = \sqrt {((5.33-5.26)^2+(5.28-5.26)^2+(5.16-5.26)^2)/(3)}`

= 0.07 seconds (uncertainty attributable to time of flight)

`R_(average) = (83.77+83.63+83.69)/(3)`

= 83.69

Standard deviation or uncertainty

`\sigma = \sqrt{((83.69-83.77)^2+(83.69-83.63)^2+(83.69-83.69)^2)/(3)}`

= 0.06 μm