A boat crosses a river of width w = 160 m in which the current has a uniform speed of 1.50 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 2.00 m/s relative to the water.
a. What is the speed of the boat relative to a stationary shore observer?
b. How far downstream from the initial position is the boat when it reaches the opposite shore?