# Bullet Hit Bullet#

We are conducting an experiment with bullets where we shoot two bullets and they collide in midair. We shoot the first bullet such that it has a velocity of $$v = {{params.v}}\ \rm{m/s}$$ at an angle $$\phi = {{params.phi}}^\circ$$ and angle of $$\theta = {{ params.theta}}^\circ$$. It travels for $${{params.t1}}$$ seconds and then collides with the second bullet that is travelling with the following velocity, $$\vec{v} ={{params.vx}}.\widehat{\mathbf{i}}+{{params.vy}}.\widehat{\mathbf{j}}+{{params.vz}}.\widehat{\mathbf{k}}$$. They are embedded together and travel a further $${{params.t2}}$$ seconds. The mass of each bullet is $${{params.mass}}\ \rm{g}$$.

Find the velocity of the bullets at that point in time. Consider that gravity acts on the $$z$$-axis and that $$\phi$$ is the angle between the vector and the $$xy$$ plane.

## Part 1#

What is $$v_x$$?

Please enter in a numeric value in m/s.

## Part 2#

What is $$v_y$$?

Please enter in a numeric value in m/s.

## Part 3#

What is $$v_z$$?