ï»¿ In a harbour, wind is blowing at the speed of 72 km/h and a flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat? from Physics Motion in A Plane Class 11 Manipur Board

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In a harbour, wind is blowing at the speed of 72 km/h and a flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?

Let east be taken along X-axis and north along Y-axis.

Â

Velocity of wind is,

Â

Â  Â  Â

Â  Â  Â

Velocity of boat, Â

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â Â

The flag flutters in the direction of relative velocity of wind relative to boat.

The relative velocity of wind w.r.t. the boat is,

Since Y component of velocity is approximately zero, hence the flag will flutter almost due east.
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