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 \(v_x\)?

Answer Section

Please enter in a numeric value in m/s.

Part 2

What is \(v_y\)?

Answer Section

Please enter in a numeric value in m/s.

Part 3

What is \(v_z\)?

Answer Section

Please enter in a numeric value in m/s.

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.