Three particles A , B and C of equal mass move with equal speed V = 5 ms − 1 along the medians of an equilateral triangle as shown in the figure. They collide at the centroid G of the triangle. After

Question

Three particles A , B and C of equal mass move with equal speed V = 5 ms − 1 along the medians of an equilateral triangle as shown in the figure. They collide at the centroid G of the triangle. After the collision, Acomes to rest. B retraces its path with the speed V = 5 ms − 1 . What is the speed of C ?

TestHub · Accepted Answer

P int ia l ​ = ( − 5 j + ( 5 cos 30 i − 5 sin 30 j ) + ( − 5 cos 30 i + 5 sin 30 j )) m ​ P final ​ = ( O − ( 5 cos 30 i + 5 sin 30 j ) + V c ​ ) m ​ ​ ​ ​ P in t ia l ​ = P f ina l ​ ⇒ O = − ( 5 cos 30 i + 5 sin 30 j ) + V V C ​ ​ = ( 5 cos 30 i + 5 sin 30 j ) = 5 m

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JEE Advanced (2028)