Six particles situated at the corners of a regular hexagon of side a move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. Calculate the time the particles will take to meet each other.

Six particles situated at the corners of a regular hexagon of side a m

1.	Six particles situated at the corners of a regular hexagon of side a move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. Calculate the time the particles will take to meet each other.
Answer» Correct Answer - A::B A approaches B, B approaches C and so on. Relative velocity between A and E, `vecV_(AB)= vecV_A-vecV_B=vecV-vecV cos 60^0` `=vecV-vecV/2= vecV/2` ` Time, t= (Displacement) /(Velocity) ` `= a/(vecV/2)= (2a)/vecV`.

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Six particles situated at the corners of a regular hexagon of side a move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. Calculate the time the particles will take to meet each other.

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