Coll.

Two particles ,1 and 2, move with constant velocities v1 and v2 .
At the initial moment their radius vectors are r1 and r2 .
How must these four vectors be interrelated for the particles to collide ?

6 Answers

466
Himanshu Giria ·

it is given :

r2-r1v2-v1=|r2-r1||v2-v1|
pl explain how to get the rhs part ...

2305
Shaswata Roy ·

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.

466
Himanshu Giria ·

somone plz try out this one ...

1161
Akash Anand ·

Whether the answer is in the form of r2-r1v1-v2=const. Constant can take any positive value.

466
Himanshu Giria ·

Yes sir .. i 2 thot that but it is given =|r2-r1v2-v1|

466
Himanshu Giria ·

then we are getting r2-r1v2-v1 = -|r2-r1||v2-v1|
but the ans is r2-r1v2-v1 = |r2-r1||v2-v1|

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