Answer:
3.1 m/s
Explanation:
Speed of current = 1.77 m/s = [tex]v_c[/tex]
Speed of boat relative to the water = 2.54 m/s = [tex]v_b[/tex]
Speed observed by someone on the shore
From the vector analysis. The required vector would be the length of the hypotenuse. The hypotenuse is found from the Pythagoras theorem. [tex]v_c[/tex] and [tex]v_b[/tex] are the two sides of a triangle while v is the hypotenuse.
[tex]v=\sqrt{v_c^2+v_b^2}\\\Rightarrow v=\sqrt{1.77^2+2.54^2}\\\Rightarrow v=3.1\ m/s[/tex]
Speed observed by someone on the shore is 3.1 m/s
