# A problem of Classical Mechanics by Swapnil Das

A ball of mass $$m$$ is dropped from a height $$h_1$$, and after striking the ground the ball bounces back to a height $$h_2$$ ($$h_1>h_2$$).

At a height $$h=\frac12 h_2$$, the ratio of the kinetic energy during the initial drop to that during the bounce is 2:1, what is the ratio of $$h_1:h_2$$?

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