Aboat 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.

|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.