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Two particles A and B, move with constant velocities v_{1} and v_{2}. At the initial moment, their position vectors are r_{1} and r_{2}Â respectively. The condition for particles A and B for their collision isÂ
r_{1}.v_{1} = r_{2}.v_{2}
r_{1} x v_{1} = r_{2} x v_{2}
r_{1} - r_{2} = v_{1}-v_{2}
A.
For two particles A and B moves with constant velocitites v_{1} and v_{2}, such that two particles to collide, the direction of the relative velocity of one with respect to other should be directed towards the relative position of the other particle.i.e.,Â direction of relative position of 1 w.r.t
similarly,Â Â direction of velocity of 2 w.r.t 1
so, for collision of A and B, we get
For two particles A and B moves with constant velocitites v_{1} and v_{2}, such that two particles to collide, the direction of the relative velocity of one with respect to other should be directed towards the relative position of the other particle.i.e.,Â direction of relative position of 1 w.r.t
similarly,Â Â direction of velocity of 2 w.r.t 1
so, for collision of A and B, we get