Two boats A and B having same speed relative to river are moving in a river. Boat A moves normal to the river current as observed by an observer moving with velocity of river current. Boat B moves normal to the river as observed by the observer on the ground. Pick up the incorrect statement(s).

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To a ground observer boat B moves faster than A

To the given moving observer boat B moves faster than A

To the given moving observer boat A moves faster than B

To a ground observer boat A moves faster than B

answer is A, C, D.

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Detailed Solution

Speed of river is $u$ and speed of boat relative to water is $v .$
Speed of boat A observed from ground = $\sqrt{u^{2} + v^{2}}$
Speed of boat B observed from ground = $\sqrt{v^{2} - u^{2}}$
From river frame, speed of boat A and B will be same.

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