PHYSIC 181 Lecture Notes - Lecture 10: Free Fall, Voltage Source, Induction Coil
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6 Jan 2018
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According to the general theory of motion, the vertical position, y, and velocity, v, of an object falling freely with constant acceleration of magnitude g, are given by: g = a. In using the above equations for this experiment, following is assumed: y + tv +gt o gt + v = v. If both sides of eq. (3) are divided by t, and yo is removed from the expression, one obtains the following equation: y t. If one plots y/t as a function of t, one obtains a straight line graph whose slope m is g and whose intercept b is vo. This equation forms the basis for the data analysis for this experiment. If one substitutes y for y/t and x for t, eq. (4) becomes the equation of a straight line (y = m x + b). (experimenters, this is your first example of linearizing data.