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You are now the captain of a sturdy little boat that sits on the south shore of an east-west running river that has a
You are now the captain of a sturdy little boat that sits on the south shore of an east-west running river that has a width of 40.00000 m. (The river is along the conventional x- axis.) The speed of your boat in still water is 5.50000 m/s. The current of the river is 3.50000 m/s to the east. Use the following coordinate axes/compass directions: North = +y-axis South = -y-axis East = +x-axis West = -x-axis If you wanted to travel directly across the river, what is the magnitude of the angle with respect to the positive y-axis would you need to point your boat, in degrees and to three decimal places? (An angle of 0 degrees would mean that your boat is pointing north. An angle of 10 degrees would mean that your boat is pointing either 10 degrees W of N or 10 degrees E of N.) If you wanted to travel directly across the river, what is the speed of your boat with respect to Earth as you make that journey, in m/s and to three decimal places? If you wanted to travel 40.00000 m upstream from your current location, what is the magnitude of the angle with respect to the positive y-axis would you need to point your boat, in degrees and to three decimal places? (An angle of 0 degrees would mean that your boat is pointing north. An angle of 10 degrees would mean that your boat is pointing either 10 degrees W of N or 10 degrees E of N.) If you wanted to travel 40.00000 m upstream from your current location, what is the speed of your boat with respect to Earth as you make that journey, in m/s and to three decimal places? If you wanted to travel 40.00000 m upstream from your current location, how long would it take you to make that journey, in s and to three decimal places?
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