A Sand scorpion can detect the motion of a nearby beetle (its prey) by the waves the motion sends along the sand surface (Figure). The waves are of two types: transverse waves traveling at vt = 50m/s and longitudinal waves traveling at vl = 50 m/s. If a sudden motion sends out such waves, a scorpion can tell the distance of the beetle from the difference ?t in the arrival times of the waves at its leg nearest the beetle. If ?t = 4.0ms, what is the beetle??s distance?

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Beetle