5) The earliest drop towers were used for the purpose of making lead shots for muskets. The procedure
involved releasing droplets of molten lead from the top of the tower. As the droplets of lead fell through
the tower, they formed a spherical droplet. If given enough free fall time, the droplet of molten lead
would solidify to form the perfect spherical shot. The tallest of these drop towers in the United States
was a 230-foot tower built in Baltimore.
Suppose that lead free falls through a drop tower for a distance of 63.9 meters
a) Determine how much time (in seconds) it takes the lead shot to fall this distance of 63.9 meters.
b) Determine how fast (in m/s) the lead shot is moving after free falling for 63.9 meters, right before
hitting the ground