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A boat is rowing out into the sea with an intial velocity vo and an direction angle q west of north. It is heading towards

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A boat is rowing out into the sea with an intial velocity vo and an direction angle q west of north. It is heading towards a lighthouse north of the beach in the middle of the sea in a longitudinal distance of D. A west-east current Va is dragging the boat along. The drag increases linearly with the longitudinal distance d from the shore (or beach) va = d/D . Vd, max-B Boat Vd D Boat's path (D) Sketch not to scale! Boat's start Shore / beach Given the following conditions: D = 1.6 km Vo = 2.3 m/s Va. max = 2.07 m/s a) Which angle @ is required to reach the lighthouse? How long does it take? All required calculation steps need to be shown! (Hint: Think about what kind of motion do we have in this case?)

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