Ajet boat takes in water at a constant rate q through the side vents and ejects water at a high jet speed, vj, at the rear. vj is measured relative to the speed of the boat. a variable area exit orifice controls the jet speed. the drag force on the boat is given by d = kv2, where k is a constant and v is the boat speed (measured by a stationary observer). assume steady, incompressible flow that is uniform across inlets and outlets. v = 12 m/s when vj = 30 m/s. a.find an expression for v in terms ofvj. b. what vj is needed to produce a boat speed of 22 m/s?