Catapults date from thou- sands of years ago, and were used historically to launch everything from stones to horses. During a battle in what is now Bavaria, in- ventive artillerymen from the united German clans launched giant spaetzle from their catapults toward a Roman fortification whose walls were 8.50 m high. The catapults launched the spaetzle projec- tiles from a height of 4.00 m above the ground and a distance of 38.0 m from the walls of the fortification at an angle of 60.0 degrees above the horizontal (Figure 3-41). If the projectiles were to hit the top of the wall, splattering the Roman soldiers atop the wall with pulverized pasta, (a) what launch speed was necessary? (b) How long were the spaetzle in the air? (c) At what speed did the projec- tiles hit the wall? Ignore any effects due to air resistance