Two boats are heading away from shore. Boat 1 heads due north at a speed of 4 m/s relative to the shore. Relative to boat 1, boat 2 is moving 30° north of east at a speed of 1.2 m/s. A passenger on boat 2 walks due east across the deck at a speed of 1.1 m/s relative to boat 2. What is the speed of the passenger relative to the shore?
here,
the speed of boat 1 , v1 = 4 m/s j
the speed of boat 2 relative to boat 1 , v21 = 1.2 m/s * ( cos(30) i + sin(30) j)
v21 = 1.04 i m/s + 0.6 j m/s
the speed of passenger relative to boat 2 , v2 = 1.1 m/s i
the velocity of the passenger relative to the shore , v = v1 + v2 + v3
v = 4 j + 1.04 i + 0.6 j + 1.1 i
v = 2.14 i m/s + 4.6 j m/s
speed of the passenger relative to the shore, |v| = sqrt(2.14^2+ 4.6^2) = 5.07 m/s
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