Boat Passenger Velocity on Stairs in 2D Motion Problem

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SUMMARY

The problem involves calculating the velocity of a passenger on a boat moving at 1.25 m/s while walking up stairs at 0.50 m/s, with the stairs angled at 45° in the direction of the boat's motion. The solution requires vector addition, where the velocity of the passenger relative to the water is the sum of the boat's velocity and the passenger's velocity relative to the boat. The final velocity can be determined using trigonometric principles to resolve the components of the vectors involved.

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Homework Statement


A passenger on a boat moving at 1.25 m/s on a still lake walks up a flight of stairs at a speed of 0.50 m/s, Fig. 3-44. 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?

Magnitude = ___m/s
Direction= ___° (above the water)

Could someone please help me with this problem... I've been stuck on it all night, and can't seem to figure out the correct method of solving it... Help would be greatly appreciated... Thanks =)
 
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Not sure without the picture. But it seems like a vector addition problem. The velocity of the passenger wrt water, is the vector sum of:

the velocity of the boat wrt water + the velocity of the passenger wrt the boat.
 

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