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Projectile Motion - Velocity, Magnitude and Direction

A passenger on a boat moving at 1.20 m/s on a still lake walks up a flight of stairs at a speed of 0.50 m/s. The stairs are angled at 45° pointing in the direction of motion as shown. What is the velocity of the passenger relative to the water?

Find the magnitude (m/s) and direction (above the water). See the attached for the diagram.


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This solution is provided in approximately 86 words in an attached .doc and .pdf file. It uses the sum of vectors to find velocity and equations for angle and magnitude to determine the final answer.