Use the exact values you enter to make calculations. A group of students, perfor

Question

Use the exact values you enter to make calculations. A group of students, performing the same Uniformly Accelerated Motion experiment that you did in lab, dropped a picket fence through a photogate and obtained the following data from the computer. The band spacing is 0.06 m. Use Excel to do the following. (You will not submit this spreadsheet. However, the results will be needed later in this problem.) Calculate the accelerations. Calculate the average of the accelerations. I Create a graph of velocity versus time. Use the trendline option to determine the slope. Report your results below. What is the average acceleration? (Give your answer to four significant digits.) What is the average acceleration a_verage determined from the slope? (Give your answer to four significant digits.) What is the percent difference between the values of the acceleration you obtained in (b) and (c) above?

Explanation / Answer

Given that

Seven blocking timings are given from t1 to t7

Dropped picket fence means initial velocity is (u) =o

Given that the band spacing is (d) =0.06m

We know that the average time is given by

t =Total timings/Total numbers

=0.93143/7

=0.13306sec

We know that d=ut+(1/2)at2

Then for the average acceleration we can write aavg =2d/t2 =2*0.06/(0.13306)2 =6.77m/s2

b)

The acceleration of the slope is given by

aslope =2d/t2 ==2*0.06/(0.13860)2 =6.246m/s2

middle or any one value of t taken from the given table

c)

The percentage difference for the above values is

=(aavg-aslpe/aavg)*100 =(6.77 - 6.246/6.77)*100 =7.74%

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