Relative Velocity: How Far Will the Boat Move Downstream Without Correction?

AI Thread Summary
To determine how far the boat moves downstream while crossing a 300 m wide river flowing at 3 m/s, one must calculate the time it takes for the boat to reach the opposite shore. Given the boat's speed of 10 m/s north, it takes 30 seconds to cross. During this time, the river's current pushes the boat downstream at 3 m/s, resulting in a downstream displacement of 90 m. The final answer indicates that the boat will move 90 m downstream by the time it reaches the far shore. Understanding the interplay of velocities is crucial for solving such relative motion problems.
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Homework Statement



A river flows with a velocity of 3 m/s east. The river is 300 m wide. A boat is moving 10 m/s due north. If the river flow is not corrected for, how far will the boat have moved downstream by the time is reaches the far shore?

Homework Equations


Trigonometry and kinematic equations


The Attempt at a Solution


90 m?
 
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Cool - how did you arrive at that figure?
 

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