Answered: 1) Graph 1: plot t on the abscissa…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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1) Graph 1: plot t on the abscissa versus y on the ordinate and (artistically) draw a smooth line through the points. The line need not actually go through each data point.

2) Graph 2: plot t^2 on the abscissa versus y on the ordinate and then perform a linear regression. Remember to plot both the raw data points and the line of best fit (with the two points used to draw it); also show the regression equation and r value on the graph.

3) On graph (1), what does the slope of the line tell you about the velocity of the ball? Be thorough!

4) On graph 2:

a) What does the slope of the line tell you about the acceleration of the ball? Be thorough!

b) Calculate g from the freefall data and the % error (in comparison to 9.81 m/s^2) using the results from the linear regression calculation.

c) What do the values of the y-intercept and correlation coefficient (r) tell you?

Time to
Time to
Time to
Fall, t,
Fall, t₂
Fall, t3
( s )
( s )
( s )
0.130
0.140
0.140
0.0188
0.0576
0.313 0.0980
0.300 0.245 0.240 0.235
0.500 0.310 0.310 0.320
1.000 0.440 0.445 0.450
1.500 0.560 0.545 0.550 0.552
2.500 0.710 0.710 0.720 0.713
0.445
0.198
0.305
0.5081
Drop
Height, y
( m )
0.100
Mean Time
to Fall, t
(5)
0.137
0.24
Square of Mean
Fall Time, t²
(5²)
Accel. of
Gravity, g
(m/s²)
10.6
10.4
10.2
10.1
9.841
9.841
2
ģ= 10.2 m/s²
5₁₁1 ģ= 0.280
% error = 4.08%

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