A ball is held at rest at some height above a horizontal surface. Once the ball is released it falls under gravity, hits the surface at time T1 , and starts bouncing vertically up and down. Suppose that with each bounce the ball loses a fixed fraction p (with 1>p>0) of its energy. This loss could be due to a number of reasons (inelasticity, drag, etc) that are left unspecified.How many times will the ball bounce before coming to rest? Provide a detailed explanation of your reasoning, not simply a one-line answer.How long will it take for the ball to come to rest (if at all), i.e., what is the stopping time Tstop? Give your answer for Tstop as a single formula that contains only two independent variables, namely p and the time T1 . A ball is held at rest at some height above a horizontal surface. Once the ball is released it falls under gravity, hits the surface at time T₁, and starts bouncing vertically up and down. Suppose that with each bounce the ball loses a fixed fraction p (with 1 > p > 0) of its energy. This loss could be due to a number of reasons (inelasticity, drag, etc) that are left unspecified.1. How many times will the ball bounce before coming to rest? Provide a detailed explanation of your reasoning, not simply a one-line answer.2. How long will it take for the ball to come to rest (if at all), i.e., what is the stopping time T_stop? Give your answer for T_stop as a single formula that contains only two independent variables, namely p and the time T₁.

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ball is held at rest at some height above a horizontal surface. Once the ball is released it falls under gravity, hits the surface at time T1 , and starts bouncing vertically up and down. Suppose that with each bounce the ball loses a fixed fraction p (with 1>p>0) of its energy. This loss could be due to a number of reasons (inelasticity, drag, etc) that are left unspecified. How many times will the ball bounce before coming to rest? Provide a detailed explanation of your reasoning, not simply a one-line answer. How long will it take for the ball to come to rest (if at all), i.e., what is the stopping time Tstop? Give your answer for Tstop as a single formula that contains only two independent variables, namely p and the time T1

ball is held at rest at some height above a horizontal surface. Once the ball is released it falls under gravity, hits the surface at time T1 , and starts bouncing vertically up and down. Suppose that with each bounce the ball loses a fixed fraction p (with 1>p>0) of its energy. This loss could be due to a number of reasons (inelasticity, drag, etc) that are left unspecified. How many times will the ball bounce before coming to rest? Provide a detailed explanation of your reasoning, not simply a one-line answer. How long will it take for the ball to come to rest (if at all), i.e., what is the stopping time Tstop? Give your answer for Tstop as a single formula that contains only two independent variables, namely p and the time T1

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