A movable cannon is positioned somewhere on the level plain below the cannon mounted on th...

A movable cannon is positioned somewhere on the level plain below the cannon mounted on the tower of Problem How close must it be positioned from the tower to fire a shell that can hit the cannon in that tower? Assume the two cannons have identical muzzle velocities V0.

Problem

A cannon that is capable of firing a shell at speed V0 is mounted on a vertical tower of height h that overlooks a level plain below.

(a) Show that the elevation angle α at which the cannon must be set to achieve maximum range is given by the expression

---

(b) What is the maximum range R of the cannon?