A gun is designed that can launch a projectile of mass 10 kg at a speed of 200 m s−1 . The gun is placed close to a straight, horizontal railway line and aligned such that the projectile will land further down the line. A small rail car of mass 200 kg and travelling at a speed of 100 m s−1 passes the gun just as it is fired.
Assuming the gun and the car are at the same level, at what angle upwards must the projectile be fired so that it lands in the rail car?
