Question

In: Physics

make a plot of the data in the table below , plot position versus time time...

make a plot of the data in the table below , plot position versus time time squared (t2 ). make sure to label your graph properly.( Y axis title with units, X axis title with unit, title of the graph with equation , major tick marks. use data to plot the graph manually. use proper scal

measurement position(m) time(s) time2 (s2 )
1 0 0 0
2 5 1 1
3 21 2 4
4 46 3 9
5 82 4 16
6 129 5 25

A) what do you notice about the shape of the plot this time?explain

b) what is the slope of the line in this plot equal to ( not a number)

c) determine the slope of the graph by determing the least Squares best fit line to the data. what is "g" determined from slope?

Solutions

Expert Solution

A) It is the shape of the curves obtained, that differs in botht the cases. For the graph i-T, it is a curve and for the graph l-T2, it is a straight line.

B) The slope of the line in l-T2, gives the acceleration in m/s2.

C) g = 4(pi)2 x l/T2

slope,  T2 / l = (T22 - T12 )/ (l2 - l1) = (21.5 - 10) / (110 - 50)= 11.5 / 60 = 1.1917 s2/m

l/T2= 1/1.1917 = 0.8391

g = 4* 3.14*3.14*0.8391m/s2

g =17.8924m/s2

genius_generous answered 2 years ago
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