Physics

Problem

Two particles are launched simultaneously. Particle

1

is launched from the origin with velocity

\vec{v}_{1} = (10\hat{i} + 20\hat{j})\,\text{m/s}

. Particle

2

is launched from position

\vec{r}_{2} = (40\hat{i} + 10\hat{j})\,\text{m}

. If the particles collide, determine the initial velocity vector

\vec{v}_{2}

of the second particle, given that its horizontal component is

-10\,\text{m/s}