as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
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generate an equation that describes the motion of a ball dropped from a height
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the equation for the motion of a ball dropped from a height is s = {1 \over 2}gt^2, where s is the displacement (distance) of the ball from its starting point, g is the acceleration due to gravity (9.8 m/s^2), and t is the time elapsed. this equation expresses the fact that the ball's velocity increases by an amount proportional to the acceleration due to gravity with each second that passes.
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