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Three boys are running on a equitriangular track with the same speed 5 m s^-1. At start, they were at the three corners with velocity along indicated directions. The velocity of approach of any one of them towards another at t = 10 s equals

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a

10 ms^-1

b

5 ms^-1

c

7.5 ms^-1

d

0 ms^-1

answer is D.

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Detailed Solution

$At t = 10 s,$

Question Image

Along the line joining any two, $v_{r} = 5 \cos 60^{\circ} - 5 \cos 60^{\circ} = 0$

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Three boys are running on a equitriangular track with the same speed 5 m s-1. At start, they were at the three corners with velocity along indicated directions. The velocity of approach of any one of them towards another at t = 10 s equals