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 respectively. The condition for particles A and B for their collision is

Question

Accepted Answer

Correct answer: C. (c): Let the particles A and B collide at time t . For their collision, the position vectors of both particles should be same at time t, i. e., r_1+v_1t=r_2+v_2t ;r_1-r_2=v_2t-v_1t= (v_2-v_1 )t (i) Also, |r_1-r_2 |= |v_2-v_1 |t or t= |r_1-r_2 | |v_2-v_1 | Substituting this value of t in eqn . (i), we get r_1-r_2= (v_2-v_1 ) |r_1-r_2 | |v_2-v_1 | or r_1-r_2 |r_1-r_2 |= (v_2-v_1 ) |v_2-v_1 |

$Two particles A and B, move with constant velocities v_{1} and v_{2} . At the initial moment their position vectors are r_{1} and r_{2} respectively. The condition for particles A and B for their collision is$

Solution

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