Two boats A and B having same speed relative to river are moving in a ...
Boat A appears to move normal to the flow of river with relative to an observer moving with river current ,it mean Boat A has a velocity component along river flow ,hence its velocity will appear more than of B from ground.
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Two boats A and B having same speed relative to river are moving in a ...
To understand why boat A moves faster than boat B when observed by a ground observer, we need to consider the motion of the boats relative to the river current and the observer.
1. Relative Motion:
Both boats A and B have the same speed relative to the river current. This means that if there was no river current, both boats would move at the same speed.
2. Boat A:
Boat A moves normal to the river current as observed by an observer moving with the velocity of the river current. This means that boat A is moving perpendicular to the direction of the river current from the perspective of the observer.
3. Boat B:
Boat B moves normal to the river as observed by the observer on the ground. This means that boat B is moving perpendicular to the direction of the river from the perspective of the ground observer.
4. Ground Observer's Perspective:
From the perspective of the ground observer, boat A appears to be moving directly across the river, while boat B appears to be moving diagonally across the river due to the combined motion of the boat and the river current.
5. Analysis:
Since both boats have the same speed relative to the river current, boat A, which moves directly across the river, covers the distance in a shorter time compared to boat B, which moves diagonally across the river. Therefore, boat A appears to be moving faster than boat B when observed by a ground observer.
6. Conclusion:
Based on the above analysis, the correct answer is option 'B' - boat A moves faster than boat B when observed by a ground observer.
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