Physics Lab 1

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University of California, Irvine *

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4A

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Aerospace Engineering

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Dec 6, 2023

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4) Can this motion be modeled as a constant acceleration problem? If so, what is the acceleration, and explain how you calculated it. Yes the constant acceleration will be the slope of the graph since the rate at which velocity changes with time is a constant rate, which means that acceleration can be calculated by subtracting the final velocity minus initiation and then dividing it by the change in time. (16.8 m/s - 0 m/s)/ (10s - 0s)= 1.68 m/s^2 5) What does the R-squared represent? R-square represents how closely the data fit the regression model. It is a statistical measure of how close the data is to the trendline. The closer the R-square value to the number 1 the closer the data is to the trendline. 6) Given that x(0) = 0 and v(0) = 0, we need only one other point to make a parabolic curve of x(t) = At^2 + Bt + C. Use x(10) = 83.5 for that third point. Determine A, B, and C. How do these coefficients relate to the physical parameters? x(t)= At^2 + Bt +C v(t)= x’(t)= 2At + B x(0)= A0^2 + B0 + C= 0 x(0)= C = 0 v(0)= 2 A(0) + B = 0 v(0)= B = 0 x(10)= A (10)^2 = 83.5 A= 83.5/100 A= 0.835 A represents half the acceleration, which is constant. B represents the initial velocity and C represents the initial position.
1) R-squared can be treated as a statistical measure of how close the data are to the trendline. R-squared has a minimum value of 0 and a maximum value of 1; the higher the R-squared value, the better that the trendline “fits” the data. Considering the first two graphs, does the linear or quadradic trendline best fit the data? For the t Vs x graph the linear line best fits the data, for the t Vs v graph the quadratic trendline is the best fit for the data 2) Below is a scanned image of a scatter plot based on data collected, by a student, from a different experiment. It has been rotated into portrait orientation and scaled-down to a smaller size to fit on this page. Identify three (3) mistakes that the student made in creating this graph. i. There are no labels on the axis, no units, no specific markings ii. The scale of measurement is missing iii. Origin is marked incorrectly
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