river flows due south with a speed of 3.5 m/s. You steer a motorboat across the river; your velocity relative to the water is 5.2 m/s due east. The river is 950 m wide. (a) What is your velocity (magnitude and direction/angle) relative to the earth? (b) How much time is required to cross the river? (c) How far south of your starting point will you reach the opposite bank? (Draw a free-body diagram

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Chapter1: Units, Trigonometry. And Vectors
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6. A river flows due south with a speed of 3.5 m/s. You steer a motorboat across the river; your velocity relative to the water is 5.2 m/s due east. The river is 950 m wide. (a) What is your velocity (magnitude and direction/angle) relative to the earth? (b) How much time is required to cross the river? (c) How far south of your starting point will you reach the opposite bank? (Draw a free-body diagram.)


7. (a) In which direction should the motorboat in problem no. 6 head to reach a point on the opposite bank directly east from your starting point? (The boat’s speed relative to the water remains 5.2 m/s.) (b) What is the velocity of the boat relative to the earth? (c) How much time is required to cross the river? (Draw a free-body diagram. )

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