Design of Open Channels - To protect cities from flooding during heavy rains, open channels are sometimes constructed to handle runoff. The rate R at which water flows through the channel is modeled by , where m is the slope of the channel and k is a constant determined by the shape of the channel. (a) Suppose that a channel has a slope of m= .001 (or 1%) and a runoff rate of r= 340 cubic feet per second (cfs). Find k. (b) If the slope of the channel increases to m=.04 (or 4%), what happens to R? Be specific.