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Question

Three particles A,B and C are situated at the verticles of an equilateral triangle of side l. Each of the particle starts moving with a constant velocity v such that A is always directed towards B, B towards C and C towards A. Find the time when they meet.


A
l3v
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B
2lv
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C
2l3v
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D
none
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Solution

The correct option is C 2l3v
We look into it as a problem of relative velocity and find vBA in the direction of B.
t=lvAvBcos120=lv+v2=2l3v

Physics

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