Mathematics

Mathematics

Problem

Alice and Bethany stand side by side on the Earth's equator. If Alice jumps directly upward, in her frame of reference, to a small height hh much less than the radius of the Earth, she will land a distance DD to the west of Bethany. If Alice had instead jumped to a height 2h2h, how far to the west of Bethany would she land? Neglect air resistance. (A) D/2D/\sqrt{2} (B) DD (C) 2D\sqrt{2}D (D) 2D2D (E) 23/2D2^{3/2}D

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