This problem is a refraction analogy. A band is marching

Chapter , Problem 34

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This problem is a refraction analogy. A band is marching down a football field with a constant speed About midfield, the band comes to a section of muddy ground that has a sharp boundary making an angle of with the line, as shown in Figure 31-55. In the mud, each marcher moves at a speed equal to in a direction perpendicular to the row of marchers they are in. (a) Diagram how each line of marchers is bent as it encounters the muddy section of the field so that the band is eventually marching in a different direction. Indicate the original direction by a ray and the final direction by a second ray. (b) Find the angles between these rays and the line normal to the boundary. Is their direction of motion bent toward the normal or away from it? Explain your answer in terms of refraction.