A sphere rebounds as shown after striking an inclined

Chapter 13, Problem 13.172

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A sphere rebounds as shown after striking an inclined plane with a vertical velocity \(v_{0}\) of magnitude \(v_{0} = 5 \ m/s\). Knowing that \(a = 30^{\circ}\) and e = 0.8 between the sphere and the plane, determine the height h reached by the sphere.

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