Kinematics 6 Question 12

12. Four persons K,L,M,N are initially at the four corners of a square of side d. Each person now moves with a uniform speed v in such a way that K always moves directly towards L,L directly towards M,M directly towards N and N directly towards K. The four persons will meet at a time

(1984, 2M)

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Answer:

Correct Answer: 12. d/v

Solution:

  1. By symmetry, we can say that all will meet at the centre of square.

Component of velocity along KO (or LO etc) at any instant will be vcos45 or v2.

Further distance KO

=2d2=d2

Time =d/2v/2=dv

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