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AP Physics 1
1.5 Vectors and Motion in Two Dimensions
1.4 Reference Frames and Relative Motion
IntermediateMCQMathematical13.7k
A top-down view of a river with parallel banks. A vector labeled v_WG points to the right (downstream) with a magnitude of 3.0 m/s. A boat on the lower bank is oriented at an angle pointing upstream (to the left and across). A vector labeled v_BW represents the boat relative to the water with a magnitude of 5.0 m/s. A vertical dashed line indicates the intended path directly across the river, perpendicular to the current.
The boat is steered upstream to maintain a path directly across the river.
A boat can travel at a constant speed of \(5.0 \text{ m/s}\) relative to the water. The boat is used to cross a river where the current flows at a constant speed of \(3.0 \text{ m/s}\) relative to the riverbank. In order to travel along a path that is exactly perpendicular to the riverbank, the pilot aims the boat at an angle upstream. What is the magnitude of the boat's velocity relative to the riverbank?

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