## 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.

- 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?
- 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?
- What is the magnitude of the acceleration of the ball during this interval?
- 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?
- 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.