In a one dimensional elastic collision what can be used to determine the velocities of the object after the collision

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Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k

How much energy will be transferred to your eardrum while listening to this sound for 1.0 min?