A tennis ball with (small) mass $$m_2$$ sits on top of a basketball with (large) mass $$m_1$$. The bottom of the basketball is a height $$h$$ above the ground, and the bottom of the tennis ball is a height $$h + d$$ above the ground. The balls are dropped. To what height $$H$$ does the tennis ball bounce?

(Note: Work in the approximation where $$m_1$$ is much larger than $$m_2$$, and assume that the balls bounce elastically.)

Question Source - Basketball and tennis ball

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