Finding Velocity & Error Analysis from Position vs Time Data

eg24041
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Homework Statement


I have a physics lab due and need help finding a velocity vs time graph from a position vs time graph. I also need help finding the Mathematical error analysis from the data. here is the data for the position vs time graph

time(sec) position (cm)
0.0000 0
0.4084 10
0.6076 20
0.7420 30
0.8740 40
0.9890 50
1.0731 60
1.1791 70
1.2829 80
1.3671 90
1.4289 100
1.5152 110
1.5969 120
 
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what have you tried so far?
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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