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Problem 3.12: A basketball bounces on the floor

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A bouncing basketball is shown in the animation (position is given in meters and time is given in seconds). Restart. While the basketball is in the air, its motion is characterized by projectile motion.

  1. What is the average y acceleration of the ball during the interval of the first bounce, that is from t = 0.85 s to t = 0.95 s?
  2. What is the average x acceleration of the ball during the interval of the first bounce, that is from t = 0.85 s to t = 0.95 s?
  3. What is the magnitude of the acceleration of the ball during this interval?
  4. While the ball is in the air (between the bounces), is the x velocity increasing, decreasing, or constant? What is the x acceleration while the ball is in the air?
  5. As the ball rolls to a stop, between t = 3.0 s and t = 8.0 s, what is the x acceleration of the ball? What is the y acceleration of the ball during this interval?

Problem authored by Aaron Titus with support by the National Science Foundation under Grant No. DUE-9952323 and placed in the public domain.

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