Sarah takes a Summer internship at AmeriCorps, and decides to design an pipeline that sends water from Northern California to the rural desert regions in Southern California. The pipeline normally has a cross section of of $4m^2$ and a pressure of $2\mathrm{.}5$ atm, and Sarah designs in areas contracts to $1m^2$ to measure the flow rate. If the pressure in the smaller sections of the pipeline is $1\mathrm{.}25$atm, what is the flow rate of water in Sarah's pipeline?