Use light cones and world lines to help solve the following problem. Eddie and Martin are throwing water balloons very fast at a target. At t = - 13 μ,s, the target is at x = 0, Eddie is at x = -2 km, and Martin is at x = 5 km; all three remain in these positions for all time. The target is hit at t = 0. Who made the successful shot? Prove this using the light cone for the target. When the target is hit, it sends out a radio signal. When does Martin know the target has been hit? When does Eddie know the target has been hit? Use the world lines to show this. Before starting to draw the diagrams, consider this: If your x position is measured in kilometers and you are plotting t versus x/c, what unit must I be in?