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In: Physics

A boat leaves its home port in search of fish and travels 35 km at 30o...

A boat leaves its home port in search of fish and travels 35 km at 30o S of E, then 10 km due S, then 50 km due E and finally 12 km at 20o N of E. Having failed to find any fish, the crew throws the captain overboard and decides to turn home. a. (/4) If the boat is to sail straight home to port, what direction should it sail and how far will it have to travel? You may use the method of graphical vector addition OR addition of vector components to solve the problem. Express your answer in terms of the magnitude and the direction of the final position vector.
b. If the entire trip, including the return to port, takes 4.50 h, determine the ship’s average speed and average velocity in m/s.

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