All Problems

Kinematics

Problem 1.5

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

Reveal Answer
(r1r2)/r1r2=(v2v1)/v2v1\left(\mathbf{r}_{1}-\mathbf{r}_{2}\right) /\left|\mathbf{r}_{1}-\mathbf{r}_{2}\right|=\left(\mathbf{v}_{2}-\mathbf{v}_{1}\right) /\left|\mathbf{v}_{2}-\mathbf{v}_{1}\right|