Are concerned with determining the thickness d of a layer of soil that lies on top of

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Are concerned with determining the thickness d of a layer of soil that lies on top of a rock formation. Geologists send two sound pulses from point A to point D separated by a distance s. The first pulse travels directly from A to D along the surface of the earth. The second pulse travels down to the rock formation, then along its surface, and then back up to D (path ABCD), as in Figure 41. The pulse travels with velocity v1 in the soil and vin the rock.

A B S Soil Rock FIGURE 41 C D 0 d

Continue with the assumption of the previous exercise.
(a) Find the thickness of the soil layer, assuming that v= 0.7v2, t2/t= 1.3, and s = 400 m.
(b) The times tand tare measured experimentally. The equation in Exercise 79(c) shows that t2/tis a linear function of 1/s.What might you conclude if experiments were formed for several values of s and the points (1/s, t2/t1) did not lie on a straight line?


Data From Exercise 79(c)

(c) Conclude that t2 t 2d(1-k)/2 S - + k.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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