Question : The boat of mass M is powered by a fan F which develops a sl...

The boat of mass M is powered by a fan F which develops a slipstream having a diameter d. If the fan ejects air with a speed v, measured relative to the boat, determine the initial acceleration of the boat if it is initially at rest. Assume that air has a constant density { ρ }_{ a } and that the entering air is essentially at rest. Neglect the drag resistance of the water. Given: M = 200 kg , h = 0.375 m , d = 0.75 m , v = 14 m/s , { ρ }_{ a } = 1.22 kg/ { m }^{ 3 }