The data set given in Table 2 is expected to obey a non-linear relation X = 2 at. You are asked to plot (X) versus (t) such as to obtain a straight line graph. Choose a good set of scales for the data, make a careful and accurate graph, and analyze the graph to obtain the value of the acceleration, a, from the slope. TABLE 2 t (s) 0.2 0.4 0.8 0.6 1.0 1.2 x (m) 0.03 0.12 0.27 0.51 0.77 1.14 2 (s²)

The data set given in Table 2 is expected to obey a non-linear relation X = 2 at. You are asked to plot (X) versus (t) such as to obtain a straight line graph. Choose a good set of scales for the data, make a careful and accurate graph, and analyze the graph to obtain the value of the acceleration, a, from the slope. TABLE 2 t (s) 0.2 0.4 0.8 0.6 1.0 1.2 x (m) 0.03 0.12 0.27 0.51 0.77 1.14 2 (s²)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

y = mx + C
The data set given in Table 2 is expected to obey a non-linear relation X = ½ at?.
You are asked to plot (X) versus (t) such as to obtain a straight line graph.
Choose a good set of scales for the data, make a careful and accurate graph, and analyze
the graph to obtain the value of the acceleration, a, from the slope.
TABLE 2
t(s)
0.2
0.4
0.6
0.8
1.0
1.2
х (m)
0.03
0.12
0.27
0.51
0.77
1.14
² (s²)

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