We denote by v0.2 the speed at depth 0.2D. We will now find the depth d2 such that v = 1

Chapter 6, Problem 6

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We denote by v0.2 the speed at depth 0.2D. We will now find the depth d2 such that v = 1 2 (v0.2 + vd2 ) (a) Show that d2 satisfies 1 2 __ D 0.2D a _1/c + _ D d2 a _1/c _ = c c + 1 _ D a _1/c [: Use (6.19) and (6.20).] (b) Show that d2 D = 1 _ 2c c + 1 (0.8)1/c _c and confirm that d2/D is approximately 0.8 for values of c between 5 and 7, thus resulting in the rule v 1 2 (v0.2 + v0.8)

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