Water circulates throughout a house in a hot water heating system. If the water is pumped at a speed of \(0.5\,\text{m/s}\) through a \(2\,\text{cm}\) diameter pipe in the basement under a pressure of \(3\,\text{atm}\), what will be the flow speed and pressure in a \(1.3\,\text{cm}\) diameter pipe on the second floor \(5\,\text{m}\) above?