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The Acceleration of a Freely Falling Body  

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The Acceleration of a Freely Falling Body To study the motion of a freely falling body, an object is allowed to fall and its position after successive equal time intervals is recorded on wax-coated paper by means of electric sparks. From these data, graphs of distance vs. time and velocity vs. time are plotted. The acceleration due to gravity is found by determining the slope of the velocity vs. time graph. Theory In one dimension, an object's average velocity over an interval is the quotient of the distance it travels and the time required to travel that distance: (1) where and . The instantaneous velocity at a point is defined as the limit of this ratio as the time interval is made vanishingly small: (2) Hence, the velocity is given by the slope of the tangent to the distance vs. time curve. If the velocity were constant the slope would be constant, and the...

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