This problem is a refraction analogy. A band is marching down a football field with a constant speed v1. About midfield, the band comes to a section of muddy ground that has a sharp boundary making an angle of 30^o with the 50-yd line as shown in Figure. In the mud, the marchers move with speed v₂ = ½v₁. 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, the final direction by a second ray, and find the angles between the rays and the line perpendicular to the boundary. Is their direction of motion bent toward the  perpendicular to the boundary or away from it?

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30° Mud Marching band 50-yd line .......a.