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Asked by Rakesh Last Modified
Answer As a tutor registered on UrbanPro, I'd approach this problem methodically, ensuring the student understands each step clearly. Firstly, let's break down the given information.
The wind is blowing at 72 km/h towards the North-East direction. This indicates that the wind has two components: one towards the North and the other towards the East.
When the boat is stationary, the flag flutters along the North-East direction due to the wind's effect.
Now, when the boat starts moving at a speed of 51 km/h towards the North, it's important to understand the relative motion between the boat and the wind.
Since the boat is moving North and the wind is also blowing from the North-East, the boat will experience the wind's effect at an angle. This will cause the flag to flutter in a different direction compared to when the boat was stationary.
To find the direction of the flag on the mast of the boat, we can use vector addition to find the resultant direction of the wind relative to the boat's movement. This can be done by adding the vectors representing the boat's velocity and the wind's velocity.
After finding the resultant velocity vector, we can determine the direction it represents, which will give us the direction of the flag on the mast of the boat.
So, to summarize, we need to calculate the resultant velocity vector considering both the boat's velocity towards the North and the wind's velocity towards the North-East, and then determine the direction of this resultant vector, which will give us the direction of the flag on the mast of the boat.
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