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Question: Six person are situated at the corners of a hexagon of side l. They move at a constant speed v. Each...

Six person are situated at the corners of a hexagon of side l. They move at a constant speed v. Each person maintains a direction towards the person at the next corner. When will the person meet?

A

l/v

B

2l/3v

C

3l/2v

D

2l/v.

Answer

2l/v.

Explanation

Solution

t = 1vAB=1vA−vB in the direction of A\frac { 1 } { v _ { A B } } = \frac { 1 } { v _ { A } - v _ { B } \text { in the direction of } A }

= 1v−vcos⁡60=21v\frac { 1 } { v - v \cos 60 } = \frac { 21 } { v }