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Three particles of equal masses are plac...

Three particles of equal masses are placed at the corners of an equilateral triangle as shown in the figure. Now particle `A` starts with a velocity `v_(1)` towards line `AB`, particle `B` starts with a velocity `v_(2)` towards line `BC` and particle `C` starts with velocity `v_(3)` towards line `CA`. The displacement of `CM` of three particle `A, B` and `C` after time `t` will be (given if `v_(1)=v_(2)=v_(3))`

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