1 50 m Figure 4: Ferry crossing a river 10. A ferry is located at point A on one side of a river and needs to cross to point B on the opposite bank, as shown in Figure 4. The river has a current with an unknown velocity vw that is perpendicular to the path AC. The ferry is capable of a velocity of 5 m/s relative to still water. The ferry sets off in the direction of B and the captain does not alter its heading. It ends up at point C. (i) Determine the velocity of the current, vw. (ii) If the captain of the ferry knew what the velocity of the current was when he left point A, what angle relative to the line AC should he have directed the ferry to reach point B? (iii) How long would the journey from A to B take? 1500 m

1 50 m Figure 4: Ferry crossing a river 10. A ferry is located at point A on one side of a river and needs to cross to point B on the opposite bank, as shown in Figure 4. The river has a current with an unknown velocity vw that is perpendicular to the path AC. The ferry is capable of a velocity of 5 m/s relative to still water. The ferry sets off in the direction of B and the captain does not alter its heading. It ends up at point C. (i) Determine the velocity of the current, vw. (ii) If the captain of the ferry knew what the velocity of the current was when he left point A, what angle relative to the line AC should he have directed the ferry to reach point B? (iii) How long would the journey from A to B take? 1500 m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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