A speedboat is propelled by a water jet motor that takes water in at the bow through a $10 \mathrm{~cm}$ diameter duct and discharges it through a $50 \mathrm{~mm}$ diameter nozzle at a rate of $80 \mathrm{~kg} / \mathrm{s}$. Neglecting friction in the motor and internal ducts and assuming that the drag coefficient for the boat hull is the same as for a $1 \mathrm{~m}$ diameter sphere, determine

(a) The static thrust developed by the motor when it is stationary

(b) The maximum velocity attainable by the boat

(c) The power $(\mathrm{kW})$ required to drive the motor

(Assume seawater density to be $1030 \mathrm{~kg} / \mathrm{m}^{3}$, viscosity to be $1.2 \mathrm{cP}$.)