CBSE Class 11-science Answered
Figure above shows the initial direction of velocities of A, B and C i.e. when A, B,C are at the ends of an equilateral triangle of side 'a' each.
The velocity of A is along AB. So, as B moves, then the direction of velocity of A changes continuously towards the direction of B.
Similarly, the velocity of B is along BC and velocity of C is along CA.
The component of velocity of B along BA = v cos60o =
So, the effective speed with which A and B approach each other
Time taken in reducing the separation AB from 'a' to zero is
Since all three particles A, B and C move with same constant speed v, hence C will also meet A and B at the same time.