1. A ship has a top speed of 3.0 m/s in calm water. The current of the ocean ten
ID: 2119714 • Letter: 1
Question
1. A ship has a top speed of 3.0 m/s in calm water. The current of the ocean tends to push the boat at 2.0 m/s on a bearing of due south. What will be the net velocity of the ship if the captain points his ship on a bearing of 55 degrees North or West and applies full power?
2. An airplane is 50,000 m above an observer and 2.1 km to the west of them and 1.5 km to the north of you. Determine the angle to the plane in the x - y axis and the total distance to the plane from you. Choose the x-axis east, y-axis north, and z-axis up.
Explanation / Answer
Distance = sqrt(50000^2+2100^2+1500^2) = 50066.56m or 500.67 km
Angle with X-axis = 90degree + arccos(2100/50066.55) = 177.6 degrees
Angle with Y = 90degree + arccos(1500/50066.55)= 88.28 degrees
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