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One of the equations of one-dimensional motion is: Y = Yo + V T, where Y is the position of the object in meters at time T (in seconds), Yo is the initial position of the object in meters (i.e. at time = 0.0), and V is the average velocity during this time in meters per second. Since this is a linear equation, the plot between Y (on the y-axis) and T (in the x-axis) should be a straight line, with the slope being the value of the velocity V. In an experiment, following data has been obtained for position of an abject at different times: Time (seconds) T 0 1 2 3 4 5 Position (meters) Y 0 2.7 3.6 6.4 7.3 9.4 a) Determine the equation (write as Y = mT + b) for the best-fit line from this data, by using the method of least squares. Show your work. Equation: ____________________________
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