STATEMENT OF PROBLEM

Your mission is to shoot a cannonball over a wall, so that the cannonball lands as far as possible on the far side of the wall. You may place the cannon at any distance behind the wall. We refer to this distance behind the wall as the setback distance.


(1) Shoot a cannonball (assuming there is no wall) so that the cannonball lands as far as possible from the launch site if the cannon has muzzle velocity of 25 meters/second.


(2) Shoot a cannonball (assuming there is no wall) so that the cannonball lands as far as possible from the launch site if the cannon has muzzle velocity of v meters/second.


(3) Shoot a cannonball, assuming the cannonball must clear a wall of 10 feet, so that the cannonball lands as far as possible on the far side of the wall if the cannon has muzzle velocity of 25 meters/second. You can choose the setback distance, the distance behind the wal, to be anything you like.