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Problem 9.2: You are rowing a boat across a river

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You are rowing a boat across a river (position is given in meters and time is given in seconds). The river current flows from left to right in the animation. Your goal is to reach your favorite mooring spot on the opposite river bank (shown in red). By rowing, you control the (constant, vertical) velocity of the boat with respect to the water. Restart.

  1. What is the (horizontal) velocity of the water with respect to the banks?
  2. What is the magnitude of the velocity of the boat with respect to the banks?
  3. What angle, θ, does the boat's velocity vector make with the lower bank?

Problem authored by Steve Mellema and Chuck Niederriter.

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