A yo-yo has the free end of its string connected to a ceiling and the rest...

  

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A yo-yo has the free end of its string connected to a ceiling and the rest of its string's length wrapped several times around the yo-yo's center axis. At time t = 0, the yo-yo is released from rest and allowed to fall and unroll. The downward velocity of the yo-yo's center of mass is shown above as a function of time. (a) Use the graph to determine the average acceleration of the yo-yo as it falls. (b) The yo-yo's mass is 0.04 kg. Estimate the average tension in the string as the yo-yo falls. (c) In a well-organized, paragraph-length response that may include equations and/or diagrams, explain the why the slope of the graph above decreases with time. Be sure to cite any relevant physical principles. Velocity (m/s) 0.5 0 1.5 1 Yo-Yo Velocity vs. Time 0 0.2 0.4 0.6 0.8 Time (s) A yo-yo has the free end of its string connected to a ceiling and the rest of its string's length wrapped several times around the yo-yo's center axis. At time t = 0, the yo-yo is released from rest and allowed to fall and unroll. The downward velocity of the yo-yo's center of mass is shown above as a function of time. (a) Use the graph to determine the average acceleration of the yo-yo as it falls. (b) The yo-yo's mass is 0.04 kg. Estimate the average tension in the string as the yo-yo falls. (c) In a well-organized, paragraph-length response that may include equations and/or diagrams, explain the why the slope of the graph above decreases with time. Be sure to cite any relevant physical principles. Velocity (m/s) 0.5 0 1.5 1 Yo-Yo Velocity vs. Time 0 0.2 0.4 0.6 0.8 Time (s)