Solve the following :

Question:

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 particle will take to meet each other.

Solution:

Relative velocity $=v-v \cos \theta$

$V-\frac{v}{2}$

$=\frac{v}{2}$

$\mathrm{S}_{\mathrm{rel}}=\mathrm{a}$

Speed= $\frac{\text { distance }}{\text { time }}$

$\frac{v}{2}=\frac{a}{t}$

$t=\frac{2 a}{v}$

 

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