The problem: The picture is a blue print, to scale, of a main floor of a prison. The circle is the camera that rotates in a full circle. Due to the difference in distances from the walls, when the camera pans over the two Xs, the speed will be different. Jailor Jimmy wants to slow the camera down, such that when it pans over the North X, it will be at the same speed it pans by the South X.
Students struggled at the beginning, but after 20 minutes, most groups were on their way. Measuring, on their own, the information needed and using formulas they decided were pertinent to solve the problem. At the end of class, I heard some students walking out expressing, “Man my head hurts!”, this made me smile as last semester I had students walking out saying “Man my butt hurts!”.
Video that inspired this: