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A passenger on a boat moving at 1.70 m/s on a still lake walks up a flight of stairs at a speed of 0.60 m/s , as shown in the figure . The stairs are
angled at 45o pointing in the direction of motion as shown.




 
 
 
 
 
 
Write the vector velocity of the
passenger relative to the water.
Express your answer using two significant figures. Express
your answer in terms of the
unit vectors i
and j.

Sagot :

If you wish, you could choose i to be in the same direction as the motion and j in perpendicular direction (upwards).
The two speeds could be expressed as vectors. The speed of the boat is merely [tex]1.7i+0j[/tex]. The speed of the climbing man, using the boat as reference, is more complicated. It is [tex]\frac{0.60}{\sqrt{2}}i+\frac{0.60}{\sqrt{2}}j=0.30\sqrt{2}i+0.30\sqrt{2}j[/tex]. Calculate the sums of the two and the speed itself.

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