Wind is blowing NE with 18 √(2) km h^-1 and steamer is heading due west with 18 km h^-1. In

step 1 In this question we will learn about some basic concept of the vectors. The question is a wind i

Wind is blowing NE with 18 √(2) km h^-1 and steamer is...

Wind is blowing $\mathrm{NE}$ with $18 \sqrt{2} \mathrm{~km} \mathrm{~h}^{-1}$ and steamer is heading due west with $18 \mathrm{~km} \mathrm{~h}^{-1}$. In which direction is the flag on the mast fluttering?
(A) North West
(B) North
(C) South West
(D) South

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Key Concepts

Reference Frame Transformation

Changing the perspective from a stationary (ground) frame to a moving (ship) frame involves a transformation of velocity vectors. This process allows one to calculate how the wind appears to behave in the moving vehicle’s own coordinate system, rather than from the earth’s frame.

Apparent Wind

Apparent wind is the wind observed on a moving object, resulting from the combination of the true environmental wind and the wind generated by the object’s own motion. It is the effective wind that influences on-board phenomena such as the direction a flag flutters.

Relative Velocity

Relative velocity is the difference between the velocity of one object and the velocity of another. In navigation contexts, it is used to determine the wind’s effective speed and direction as experienced by a moving vessel by subtracting the boat’s velocity vector from the true wind velocity vector.

Vector Addition and Decomposition

Vector addition involves combining individual directional components (typically east–west and north–south) to form a resultant vector. Decomposition splits a vector into its perpendicular components, which is essential when handling velocities in different directions and determining their overall effect.

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