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An athlete throws a basketball upward from the ground, giving it speed 10.8 m/s at an angle of 64.0° above the horizontal.

(a) What is the acceleration of the basketball at the highest point in its trajectory?

(b) On its way down, the basketball hits the rim of the basket, 3.05 m above the floor. It bounces straight up with one-third the speed with which it hit the rim. What height above the floor does the basketball reach on this bounce?

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