Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax?, to match the physical hypothesis, y = 1/2*g*t². From the best-fit curve, the value of your fit-parameter, A, is 4.6 m/s² ± 0.4 m/s?. Determine the value of g ± &g for this fit-parameter value.

Using your values for 7, calculate the average period Ibar (I) and its standard error. How does the error on the average period /bar (T) compares to the errors on the periods, I? What can you do to reduce the uncertainty on /bar (T)? What can you do to reduce the uncertainty on 7 ? Peried Trial T AT 4 141 $ 10.69 +α-0.5 2 10.60 + or -0.5 2 10.40 +α-0.5 10.43 +α-0.5 S 10.37 + or -0.5 Using your values for T, calculate the average period 7 and its standard error How does the error on the garage period compares to the errors on the periods, 7? What can you do to reduce the uncertainty on 7? What can you do to reduce the uncertainty on T7

The radius of circle has been measured as r = (4.19 ± 0.3) cm. Calculate the uncertainty δA (in cm²) of its area (A = πr²). Enter the number only, without unit.

surface, denoted by “g”. In this imaginary experiment, you have measured g three times. The values you obtain are:                 g1 = 10.2 meters per second squared  (m/s2)                 g2 = 10.4 m/s2                 g3 = 10.0 m/s2   To find the Average Value of g, denoted by gav, simple add up the experimental values and divide by the number of experimental values you have:                              g1 + g2  + g3         10.2 + 10.4 + 10                  gav  =  __________  = ____________  =   10.2 m/s2 .                                   3                           3                                  Percent Error (PE)   To find the Percent Error (PE), you compare the average experimental value to the standard or handbook value of the physical quantity you are measuring. The Standard Value of gravitational acceleration at Earth’s surface , gst, is 9.8 m/s2.         Mathematically, PE is defined as:                                           (Average - Standard)…