Question

inner harbour wind is blowing at a speed of 30 km per hour and the flag on the mass of a boat anchored in the harbour flutters along the north east direction of the both starts moving at a speed of 51 kilometre per hour to the north what is the direction of the flag on the mass of the boat​

Answer 1

The flag is fluttering in the north-east direction. It shows that the wind is blowing toward the north-east direction. When the ship begins sailing toward the north, the flag will move along the direction of the relative velocity (v wb) of the wind with respect to the boat.

The angle between v w and v b=90+45

tanθ= (72+51cos(90+45)51sin(90+45)

Substituting and solving we get,

tanθ= 50.8051 =1.0038

θ=tan −1 (1.0038)=45.11 0

Angle with respect to the east direction = 45.11−45=0.11

Hence, the flag will flutter almost due east.