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Kinematics

Problem 1.5

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

Reveal Answer
(r1−r2)/∣r1−r2∣=(v2−v1)/∣v2−v1∣\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|
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