A Pitot tube can be installed in the prow or on the side of a boat to measure its speed. If a pressure sensor with a resolution of 1000 Pa and a range from 0 to 50,000 Pa is used, and assuming a pressure of 101.325 kPa (1 atm) at the surface of the water and a density of water of 1025 kg/m3: a. Calculate the resolution in terms of speed that can be measured, neglecting the effects of static pressure and assuming the sensor is calibrated to zero output at zero speed. b. Calculate the range of the sensor.