Normal swimmers don't think about math when they are swimming. No offense Mrs. Mariner :). But it is interesting to see what the graph of a swimmer looks like. The most interesting thing when looking at swimming is that it can be related to math. For instance, if a swimmer is swimming at a constant pace for a certain amount of time, that can be graphed. When graphed, this would look like a straight line starting at the bottom left corner of the graph and diagonally going up and to the right. If the swimmer was thinking about math and knew alot about their sine values, they would be able to swim in a way that this graph would resemble a sine graph. In order to do this, the swimmer would have to constantly increase then decrease their speed and keep going. Also, the swimmer could make their sine graph stretch both vertically and horizontally. in order to do this, the length of the pool and the time would have to be messed with until the graph matched what they wanted. Now that we have talked about sine graphs and straight lined graphs, what other graphs do you think we could make? a Triangle graph? a cosine graph? tangent? secant? A triangle graph would be very easy to make, the swimmer would have to swim at a constant speed from one side of the pool to the other and then swim back at the same speed. In order for the swimmer to make a cosine graph, they would have to follow thew same procedure as they did for the sine graph but just adjust their speed accordingly. For the two swimmers, there would only be 1 intersection and that would be at the point in which they started. The faster swimmer (the one going the 50m) would get to the starting point at the same time as the slower swimmer (the one going only 25m). JUS