A boat crosses a river of width 161 m in which the current has a uniform speed of 1.09 m/s. The pilot maintains a bearing (i.e.,
the direction in which the boat points) perpendicular to the river and a throttle setting to give a constant speed of 2.77 m/s relative to the water. What is the magnitude of the speed of the boat relative to a stationary shore observer? Answer in units of m/s.
1 answer:
Answer:
|v|=2.98m/s
Explanation:
In order to solve this problem we must first draw a diagram that will represent the situation. (See picture attached)
In this case the boat is being dragged by the river while it has a given velocity relative to the water and perpendicular to the flow of the river. We can take these velocities as vectors so we can add them up:
which yields:
|v|=2.98m/s
so an observer that is stationary on the shore will se the boat having a speed of 2.98m/s.
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