Question

Help with physics problem

3. The data given in the table below are 12 measurements and associated measurement uncertainties of the speed of an unladen European swallow.

a.Find the best estimate for the true value of the speed

b.Find the uncertainty for the true value of the speed

V(m/s)	5.52	5.45	5.32	5.48	5.56	5.39	5.89	5.36	5.44	5.52	5.55	5.42
σv(m/s)	0.12	0.10	0.13	0.12	0.11	0.14	0.57	0.10	0.14	0.13	0.11	0.12

Answer 1

a. The best estimate is the average velocity: N 5.52 + 5.45 + 5.32 + 5.48 +5.56 +5.39 + 5.89 + 5.36 + 5.44 + 5.52 + 5.55 +5.42 12 ū = 5.49 b. The uncertainty is giving by: Av = 1 = 0.20 V 12 then: ū + Av = (5.49 + 0.20 m/s