Let's assume that the particles collide after time t.
Position of particle 1 at that time is,
r1+v1t
And that of 2 is,
r2+v2t
Since they collide the position of the 2 particles at the time of collision must be the same.
r2+v2t = r1+v1t
→r2-r1 = -t (v2-v1)
Now take modulo on both the sides,
→|r2-r1| = -t |v2-v1|
Eliminate t to get the required result.
- Himanshu Giria when we are taking modulus on R.H.S why does'nt -t come into the modulus and become t(positive)Upvote·0· Reply ·2014-02-08 02:59:49
- Shaswata Roy It will become positive.Sorry for that mistake.